66610879137900 has 288 divisors, whose sum is σ = 225466640044800. Its totient is φ = 16823951424000.

The previous prime is 66610879137883. The next prime is 66610879137923. The reversal of 66610879137900 is 973197801666.

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

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, 215356759 + ... + 215665841.

Almost surely, 2^{66610879137900} is an apocalyptic number.

66610879137900 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 66610879137900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112733320022400).

66610879137900 is an abundant number, since it is smaller than the sum of its proper divisors (158855760906900).

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

66610879137900 is a wasteful number, since it uses less digits than its factorization.

66610879137900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313326 (or 313313 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 66610879137900 in words is "sixty-six trillion, six hundred ten billion, eight hundred seventy-nine million, one hundred thirty-seven thousand, nine hundred".