62668992960 has 504 divisors, whose sum is σ = 251649646560. Its totient is φ = 14272892928.

The previous prime is 62668992941. The next prime is 62668992973. The reversal of 62668992960 is 6929986626.

62668992960 is a `hidden beast` number, since 6 + 266 + 89 + 9 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50661462 + ... + 50662698.

Almost surely, 2^62668992960 is an apocalyptic number.

62668992960 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 62668992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125824823280).

62668992960 is an abundant number, since it is smaller than the sum of its proper divisors (188980653600).

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

62668992960 is a wasteful number, since it uses less digits than its factorization.

62668992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 62668992960 in words is "sixty-two billion, six hundred sixty-eight million, nine hundred ninety-two thousand, nine hundred sixty".