65624117328 has 960 divisors, whose sum is σ = 254783692800. Its totient is φ = 15838778880.

The previous prime is 65624117239. The next prime is 65624117333. The reversal of 65624117328 is 82371142656.

65624117328 is a `hidden beast` number, since 6 + 5 + 624 + 1 + 17 + 3 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 472115883 + ... + 472116021.

It is an arithmetic number, because the mean of its divisors is an integer number (265399680).

Almost surely, 2^65624117328 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 65624117328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127391846400).

65624117328 is an abundant number, since it is smaller than the sum of its proper divisors (189159575472).

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

65624117328 is a wasteful number, since it uses less digits than its factorization.

65624117328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 264 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 65624117328 in words is "sixty-five billion, six hundred twenty-four million, one hundred seventeen thousand, three hundred twenty-eight".