64888009464960 has 768 divisors, whose sum is σ = 246321884390400. Its totient is φ = 15609396142080.

The previous prime is 64888009464931. The next prime is 64888009464979. The reversal of 64888009464960 is 6946490088846.

64888009464960 is a `hidden beast` number, since 6 + 4 + 88 + 80 + 0 + 9 + 464 + 9 + 6 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6549708327 + ... + 6549718233.

It is an arithmetic number, because the mean of its divisors is an integer number (320731620300).

Almost surely, 2^{64888009464960} is an apocalyptic number.

64888009464960 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 64888009464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123160942195200).

64888009464960 is an abundant number, since it is smaller than the sum of its proper divisors (181433874925440).

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

64888009464960 is a wasteful number, since it uses less digits than its factorization.

64888009464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10729 (or 10714 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 64888009464960 in words is "sixty-four trillion, eight hundred eighty-eight billion, nine million, four hundred sixty-four thousand, nine hundred sixty".