66372881652000 has 5760 divisors, whose sum is σ = 332884202466816. Its totient is φ = 12627394560000.

The previous prime is 66372881651971. The next prime is 66372881652001. The reversal of 66372881652000 is 25618827366.

66372881652000 is a `hidden beast` number, since 6 + 6 + 37 + 2 + 8 + 81 + 6 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (66372881652001) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 191276315827 + ... + 191276316173.

Almost surely, 2^{66372881652000} is an apocalyptic number.

66372881652000 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 66372881652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166442101233408).

66372881652000 is an abundant number, since it is smaller than the sum of its proper divisors (266511320814816).

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

66372881652000 is a wasteful number, since it uses less digits than its factorization.

66372881652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 66372881652000 in words is "sixty-six trillion, three hundred seventy-two billion, eight hundred eighty-one million, six hundred fifty-two thousand".