631990093824 has 768 divisors, whose sum is σ = 2080391040000. Its totient is φ = 188668182528.

The previous prime is 631990093799. The next prime is 631990093859. The reversal of 631990093824 is 428390099136.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×631990093824² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 2644309897 + ... + 2644310135.

It is an arithmetic number, because the mean of its divisors is an integer number (2708842500).

Almost surely, 2^631990093824 is an apocalyptic number.

631990093824 is a gapful number since it is divisible by the number (64) 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 631990093824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040195520000).

631990093824 is an abundant number, since it is smaller than the sum of its proper divisors (1448400946176).

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

631990093824 is a wasteful number, since it uses less digits than its factorization.

631990093824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 631990093824 in words is "six hundred thirty-one billion, nine hundred ninety million, ninety-three thousand, eight hundred twenty-four".