65664248832 has 352 divisors, whose sum is σ = 239351616000. Its totient is φ = 17317380096.

The previous prime is 65664248813. The next prime is 65664248857. The reversal of 65664248832 is 23884246656.

It is a happy number.

65664248832 is a `hidden beast` number, since 6 + 566 + 4 + 2 + 48 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2502919 + ... + 2529017.

Almost surely, 2^65664248832 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 65664248832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119675808000).

65664248832 is an abundant number, since it is smaller than the sum of its proper divisors (173687367168).

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

65664248832 is a wasteful number, since it uses less digits than its factorization.

65664248832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26148 (or 26124 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 65664248832 in words is "sixty-five billion, six hundred sixty-four million, two hundred forty-eight thousand, eight hundred thirty-two".