632002099680 has 576 divisors, whose sum is σ = 2576175114240. Its totient is φ = 137951244288.

The previous prime is 632002099669. The next prime is 632002099681. The reversal of 632002099680 is 86990200236.

632002099680 is a `hidden beast` number, since 632 + 0 + 0 + 2 + 0 + 9 + 9 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×632002099680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632002099681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169936861 + ... + 169940579.

It is an arithmetic number, because the mean of its divisors is an integer number (4472526240).

Almost surely, 2^632002099680 is an apocalyptic number.

632002099680 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 632002099680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288087557120).

632002099680 is an abundant number, since it is smaller than the sum of its proper divisors (1944173014560).

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

632002099680 is a wasteful number, since it uses less digits than its factorization.

632002099680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 632002099680 in words is "six hundred thirty-two billion, two million, ninety-nine thousand, six hundred eighty".