66077631900 has 864 divisors, whose sum is σ = 263766451200. Its totient is φ = 14108774400.

The previous prime is 66077631869. The next prime is 66077631911. The reversal of 66077631900 is 913677066.

66077631900 is a `hidden beast` number, since 6 + 6 + 0 + 7 + 7 + 631 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×66077631900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 243828765 + ... + 243829035.

Almost surely, 2^66077631900 is an apocalyptic number.

66077631900 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 66077631900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131883225600).

66077631900 is an abundant number, since it is smaller than the sum of its proper divisors (197688819300).

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

66077631900 is a wasteful number, since it uses less digits than its factorization.

66077631900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 66077631900 in words is "sixty-six billion, seventy-seven million, six hundred thirty-one thousand, nine hundred".