64160319614976 has 1560 divisors, whose sum is σ = 220767834450240. Its totient is φ = 18452521156608.

The previous prime is 64160319614953. The next prime is 64160319614987. The reversal of 64160319614976 is 67941691306146.

64160319614976 is a `hidden beast` number, since 6 + 4 + 1 + 6 + 0 + 3 + 1 + 9 + 614 + 9 + 7 + 6 = 666.

It is a super-2 number, since 2×64160319614976² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 138575204121 + ... + 138575204583.

Almost surely, 2^{64160319614976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64160319614976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110383917225120).

64160319614976 is an abundant number, since it is smaller than the sum of its proper divisors (156607514835264).

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

64160319614976 is a wasteful number, since it uses less digits than its factorization.

64160319614976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 64160319614976 in words is "sixty-four trillion, one hundred sixty billion, three hundred nineteen million, six hundred fourteen thousand, nine hundred seventy-six".