64676500492968 has 320 divisors, whose sum is σ = 227165658572160. Its totient is φ = 16735697432064.

The previous prime is 64676500492963. The next prime is 64676500492973. The reversal of 64676500492968 is 86929400567646.

64676500492968 is a `hidden beast` number, since 6 + 4 + 6 + 76 + 5 + 0 + 0 + 492 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (64676500492963) and next prime (64676500492973).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 64676500492896 and 64676500492905.

It is not an unprimeable number, because it can be changed into a prime (64676500492963) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7221930 + ... + 13472537.

It is an arithmetic number, because the mean of its divisors is an integer number (709892683038).

Almost surely, 2^{64676500492968} is an apocalyptic number.

It is an amenable number.

64676500492968 is an abundant number, since it is smaller than the sum of its proper divisors (162489158079192).

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

64676500492968 is a wasteful number, since it uses less digits than its factorization.

64676500492968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20694558 (or 20694545 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 64676500492968 in words is "sixty-four trillion, six hundred seventy-six billion, five hundred million, four hundred ninety-two thousand, nine hundred sixty-eight".