632636097984 has 896 divisors, whose sum is σ = 2227566182400. Its totient is φ = 175383014400.

The previous prime is 632636097949. The next prime is 632636098037. The reversal of 632636097984 is 489790636236.

It is a super-3 number, since 3×632636097984³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1354680919 + ... + 1354681385.

Almost surely, 2^632636097984 is an apocalyptic number.

632636097984 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 632636097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113783091200).

632636097984 is an abundant number, since it is smaller than the sum of its proper divisors (1594930084416).

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

632636097984 is a wasteful number, since it uses less digits than its factorization.

632636097984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 632636097984 in words is "six hundred thirty-two billion, six hundred thirty-six million, ninety-seven thousand, nine hundred eighty-four".