632748846720 has 384 divisors, whose sum is σ = 2193854760000. Its totient is φ = 154687242240.

The previous prime is 632748846673. The next prime is 632748846809. The reversal of 632748846720 is 27648847236.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×632748846720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35048256 + ... + 35066304.

Almost surely, 2^632748846720 is an apocalyptic number.

632748846720 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 632748846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096927380000).

632748846720 is an abundant number, since it is smaller than the sum of its proper divisors (1561105913280).

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

632748846720 is a wasteful number, since it uses less digits than its factorization.

632748846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18152 (or 18109 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 57.

The spelling of 632748846720 in words is "six hundred thirty-two billion, seven hundred forty-eight million, eight hundred forty-six thousand, seven hundred twenty".