65877073920 has 672 divisors, whose sum is σ = 266820091200. Its totient is φ = 15028715520.

The previous prime is 65877073901. The next prime is 65877073987. The reversal of 65877073920 is 2937077856.

65877073920 is a `hidden beast` number, since 6 + 587 + 7 + 0 + 7 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×65877073920² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126443260 + ... + 126443780.

Almost surely, 2^65877073920 is an apocalyptic number.

65877073920 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 65877073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133410045600).

65877073920 is an abundant number, since it is smaller than the sum of its proper divisors (200943017280).

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

65877073920 is an equidigital number, since it uses as much as digits as its factorization.

65877073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 65877073920 in words is "sixty-five billion, eight hundred seventy-seven million, seventy-three thousand, nine hundred twenty".