66756326910912 has 448 divisors, whose sum is σ = 213808015360000. Its totient is φ = 20346969000960.

The previous prime is 66756326910839. The next prime is 66756326910919. The reversal of 66756326910912 is 21901962365766.

66756326910912 is a `hidden beast` number, since 6 + 6 + 7 + 563 + 2 + 69 + 1 + 0 + 9 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 66756326910912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66756326910919) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 385656639 + ... + 385829697.

Almost surely, 2^{66756326910912} is an apocalyptic number.

66756326910912 is a gapful number since it is divisible by the number (62) 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 66756326910912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106904007680000).

66756326910912 is an abundant number, since it is smaller than the sum of its proper divisors (147051688449088).

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

66756326910912 is a wasteful number, since it uses less digits than its factorization.

66756326910912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173509 (or 173493 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 66756326910912 in words is "sixty-six trillion, seven hundred fifty-six billion, three hundred twenty-six million, nine hundred ten thousand, nine hundred twelve".