65664290400 has 144 divisors (see below), whose sum is σ = 214511051664. Its totient is φ = 17447086080.

The previous prime is 65664290357. The next prime is 65664290441. The reversal of 65664290400 is 409246656.

65664290400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 615414 + ... + 714186.

It is an arithmetic number, because the mean of its divisors is an integer number (1489660081).

Almost surely, 2^65664290400 is an apocalyptic number.

65664290400 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 65664290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107255525832).

65664290400 is an abundant number, since it is smaller than the sum of its proper divisors (148846761264).

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

65664290400 is a wasteful number, since it uses less digits than its factorization.

65664290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99073 (or 99060 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 65664290400 in words is "sixty-five billion, six hundred sixty-four million, two hundred ninety thousand, four hundred".