66914725764096 has 352 divisors, whose sum is σ = 226556342376960. Its totient is φ = 19111956480000.

The previous prime is 66914725764083. The next prime is 66914725764157. The reversal of 66914725764096 is 69046752741966.

66914725764096 is a `hidden beast` number, since 6 + 6 + 9 + 1 + 4 + 7 + 2 + 576 + 40 + 9 + 6 = 666.

66914725764096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66914725764096² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580743931 + ... + 580859141.

Almost surely, 2^{66914725764096} 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 66914725764096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113278171188480).

66914725764096 is an abundant number, since it is smaller than the sum of its proper divisors (159641616612864).

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

66914725764096 is a wasteful number, since it uses less digits than its factorization.

66914725764096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118248 (or 118224 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 66914725764096 in words is "sixty-six trillion, nine hundred fourteen billion, seven hundred twenty-five million, seven hundred sixty-four thousand, ninety-six".