66632360752656 has 480 divisors, whose sum is σ = 195780840652800. Its totient is φ = 21139490211840.

The previous prime is 66632360752649. The next prime is 66632360752697. The reversal of 66632360752656 is 65625706323666.

It is a super-2 number, since 2×66632360752656² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66632360752593 and 66632360752602.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12895751385 + ... + 12895756551.

It is an arithmetic number, because the mean of its divisors is an integer number (407876751360).

Almost surely, 2^{66632360752656} 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 66632360752656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97890420326400).

66632360752656 is an abundant number, since it is smaller than the sum of its proper divisors (129148479900144).

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

66632360752656 is a wasteful number, since it uses less digits than its factorization.

66632360752656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 63.

The spelling of 66632360752656 in words is "sixty-six trillion, six hundred thirty-two billion, three hundred sixty million, seven hundred fifty-two thousand, six hundred fifty-six".