7631334990900 has 288 divisors, whose sum is σ = 24925015808000. Its totient is φ = 2002700868480.

The previous prime is 7631334990899. The next prime is 7631334990991. The reversal of 7631334990900 is 90994331367.

7631334990900 is a `hidden beast` number, since 7 + 6 + 31 + 33 + 499 + 0 + 90 + 0 = 666.

It is a super-3 number, since 3×7631334990900³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65424831 + ... + 65541369.

Almost surely, 2^{7631334990900} 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 7631334990900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12462507904000).

7631334990900 is an abundant number, since it is smaller than the sum of its proper divisors (17293680817100).

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

7631334990900 is a wasteful number, since it uses less digits than its factorization.

7631334990900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116948 (or 116935 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The spelling of 7631334990900 in words is "seven trillion, six hundred thirty-one billion, three hundred thirty-four million, nine hundred ninety thousand, nine hundred".