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66715610494680 = 23345722329630029
BaseRepresentation
bin11110010101101011100000…
…10000111011011011011000
322202012221122121022202120000
433022311300100323123120
532221032032241312210
6353520421153533000
720024021010331500
oct1712656020733330
9282187577282500
1066715610494680
111a291a27940924
127595b22b74160
132b2c341525904
1412690a4b6aa00
157aa65d2e9ac0
hex3cad7043b6d8

66715610494680 has 960 divisors, whose sum is σ = 281576535768000. Its totient is φ = 14083272935424.

The previous prime is 66715610494679. The next prime is 66715610494697. The reversal of 66715610494680 is 8649401651766.

It is a happy number.

66715610494680 is a `hidden beast` number, since 6 + 6 + 7 + 1 + 5 + 61 + 0 + 494 + 6 + 80 = 666.

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 239 ways as a sum of consecutive naturals, for example, 105577906 + ... + 106207934.

It is an arithmetic number, because the mean of its divisors is an integer number (293308891425).

Almost surely, 266715610494680 is an apocalyptic number.

66715610494680 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 66715610494680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140788267884000).

66715610494680 is an abundant number, since it is smaller than the sum of its proper divisors (214860925273320).

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

66715610494680 is a wasteful number, since it uses less digits than its factorization.

66715610494680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630118 (or 630098 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 66715610494680 in words is "sixty-six trillion, seven hundred fifteen billion, six hundred ten million, four hundred ninety-four thousand, six hundred eighty".