632819887633920 has 2560 divisors, whose sum is σ = 2435212456427520. Its totient is φ = 137245910630400.

The previous prime is 632819887633909. The next prime is 632819887633933. The reversal of 632819887633920 is 29336788918236.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×632819887633920² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (75) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2787752808847 + ... + 2787752809073.

It is an arithmetic number, because the mean of its divisors is an integer number (951254865792).

Almost surely, 2^{632819887633920} is an apocalyptic number.

632819887633920 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 632819887633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217606228213760).

632819887633920 is an abundant number, since it is smaller than the sum of its proper divisors (1802392568793600).

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

632819887633920 is a wasteful number, since it uses less digits than its factorization.

632819887633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 75.

The spelling of 632819887633920 in words is "six hundred thirty-two trillion, eight hundred nineteen billion, eight hundred eighty-seven million, six hundred thirty-three thousand, nine hundred twenty".