66164925373920 has 288 divisors, whose sum is σ = 239088974237568. Its totient is φ = 16604742303744.

The previous prime is 66164925373919. The next prime is 66164925373961. The reversal of 66164925373920 is 2937352946166.

66164925373920 is a `hidden beast` number, since 6 + 6 + 1 + 6 + 4 + 9 + 2 + 537 + 3 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318307462 + ... + 318515258.

It is an arithmetic number, because the mean of its divisors is an integer number (830170049436).

Almost surely, 2^{66164925373920} is an apocalyptic number.

66164925373920 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 66164925373920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119544487118784).

66164925373920 is an abundant number, since it is smaller than the sum of its proper divisors (172924048863648).

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

66164925373920 is a wasteful number, since it uses less digits than its factorization.

66164925373920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220842 (or 220831 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 66164925373920 in words is "sixty-six trillion, one hundred sixty-four billion, nine hundred twenty-five million, three hundred seventy-three thousand, nine hundred twenty".