66877558272 has 960 divisors, whose sum is σ = 252787392000. Its totient is φ = 16907304960.

The previous prime is 66877558249. The next prime is 66877558301. The reversal of 66877558272 is 27285577866.

66877558272 is a `hidden beast` number, since 6 + 6 + 8 + 7 + 7 + 558 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 510515647 + ... + 510515777.

It is an arithmetic number, because the mean of its divisors is an integer number (263320200).

Almost surely, 2^66877558272 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 66877558272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126393696000).

66877558272 is an abundant number, since it is smaller than the sum of its proper divisors (185909833728).

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

66877558272 is a wasteful number, since it uses less digits than its factorization.

66877558272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 179 counting only the distinct ones).

The product of its digits is 79027200, while the sum is 63.

The spelling of 66877558272 in words is "sixty-six billion, eight hundred seventy-seven million, five hundred fifty-eight thousand, two hundred seventy-two".