64744361398080 has 1680 divisors, whose sum is σ = 303703120385280. Its totient is φ = 12941320347648.

The previous prime is 64744361398051. The next prime is 64744361398091. The reversal of 64744361398080 is 8089316344746.

It is a happy number.

64744361398080 is a `hidden beast` number, since 6 + 4 + 7 + 4 + 4 + 3 + 613 + 9 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×64744361398080² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 64744361397999 and 64744361398017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 313606569 + ... + 313812951.

It is an arithmetic number, because the mean of its divisors is an integer number (180775666896).

Almost surely, 2^{64744361398080} is an apocalyptic number.

64744361398080 is a gapful number since it is divisible by the number (60) 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 64744361398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151851560192640).

64744361398080 is an abundant number, since it is smaller than the sum of its proper divisors (238958758987200).

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

64744361398080 is a wasteful number, since it uses less digits than its factorization.

64744361398080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206458 (or 206432 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 64744361398080 in words is "sixty-four trillion, seven hundred forty-four billion, three hundred sixty-one million, three hundred ninety-eight thousand, eighty".