64952868481056 has 576 divisors, whose sum is σ = 193686981546240. Its totient is φ = 20630163456000.

The previous prime is 64952868481043. The next prime is 64952868481079. The reversal of 64952868481056 is 65018486825946.

64952868481056 is a `hidden beast` number, since 6 + 4 + 9 + 528 + 6 + 8 + 48 + 1 + 0 + 56 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57531326700 + ... + 57531327828.

It is an arithmetic number, because the mean of its divisors is an integer number (336262120740).

Almost surely, 2^{64952868481056} 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 64952868481056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96843490773120).

64952868481056 is an abundant number, since it is smaller than the sum of its proper divisors (128734113065184).

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

64952868481056 is a wasteful number, since it uses less digits than its factorization.

64952868481056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 72.

The spelling of 64952868481056 in words is "sixty-four trillion, nine hundred fifty-two billion, eight hundred sixty-eight million, four hundred eighty-one thousand, fifty-six".