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64474841604096 = 213311711577
BaseRepresentation
bin11101010100011101110000…
…00001111110000000000000
322110021201211120100000000000
432222032320001332000000
531422323433422312341
6345043200000000000
716403103452121210
oct1652167001760000
9273251746300000
1064474841604096
11195a8699258a40
1272937a6000000
1329c8c4a50cba1
1411cc855880240
1576c212b318b6
hex3aa3b807e000

64474841604096 has 1344 divisors, whose sum is σ = 241555397690880. Its totient is φ = 16717688340480.

The previous prime is 64474841604079. The next prime is 64474841604149. The reversal of 64474841604096 is 69040614847446.

It is a happy number.

64474841604096 is a `hidden beast` number, since 6 + 4 + 4 + 7 + 484 + 1 + 60 + 4 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111741492960 + ... + 111741493536.

It is an arithmetic number, because the mean of its divisors is an integer number (179728718520).

Almost surely, 264474841604096 is an apocalyptic number.

64474841604096 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64474841604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120777698845440).

64474841604096 is an abundant number, since it is smaller than the sum of its proper divisors (177080556086784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64474841604096 is an frugal number, since it uses more digits than its factorization.

64474841604096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 64474841604096 in words is "sixty-four trillion, four hundred seventy-four billion, eight hundred forty-one million, six hundred four thousand, ninety-six".