64296960000 has 1200 divisors, whose sum is σ = 275154722304. Its totient is φ = 12976128000.

The previous prime is 64296959983. The next prime is 64296960001. The reversal of 64296960000 is 6969246.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64296960001) 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, 2795519989 + ... + 2795520011.

Almost surely, 2^64296960000 is an apocalyptic number.

64296960000 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 64296960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137577361152).

64296960000 is an abundant number, since it is smaller than the sum of its proper divisors (210857762304).

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

64296960000 is an equidigital number, since it uses as much as digits as its factorization.

64296960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 64296960000 in words is "sixty-four billion, two hundred ninety-six million, nine hundred sixty thousand".