66031908096 has 576 divisors, whose sum is σ = 244275333120. Its totient is φ = 15288238080.

The previous prime is 66031908073. The next prime is 66031908149. The reversal of 66031908096 is 69080913066.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19099200 + ... + 19102656.

It is an arithmetic number, because the mean of its divisors is an integer number (424089120).

Almost surely, 2^66031908096 is an apocalyptic number.

66031908096 is a gapful number since it is divisible by the number (66) 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 66031908096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122137666560).

66031908096 is an abundant number, since it is smaller than the sum of its proper divisors (178243425024).

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

66031908096 is a wasteful number, since it uses less digits than its factorization.

66031908096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 66031908096 in words is "sixty-six billion, thirty-one million, nine hundred eight thousand, ninety-six".