632776939704 has 512 divisors, whose sum is σ = 2235018240000. Its totient is φ = 166865650560.

The previous prime is 632776939703. The next prime is 632776939709. The reversal of 632776939704 is 407939677236.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632776939703) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 78010609 + ... + 78018719.

It is an arithmetic number, because the mean of its divisors is an integer number (4365270000).

Almost surely, 2^632776939704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632776939704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117509120000).

632776939704 is an abundant number, since it is smaller than the sum of its proper divisors (1602241300296).

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

632776939704 is an equidigital number, since it uses as much as digits as its factorization.

632776939704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8172 (or 8136 counting only the distinct ones).

The product of its (nonzero) digits is 72013536, while the sum is 63.

The spelling of 632776939704 in words is "six hundred thirty-two billion, seven hundred seventy-six million, nine hundred thirty-nine thousand, seven hundred four".