7631668660 has 288 divisors, whose sum is σ = 21544621056. Its totient is φ = 2241792000.

The previous prime is 7631668657. The next prime is 7631668699. The reversal of 7631668660 is 668661367.

It is a super-3 number, since 3×7631668660³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 13701102 + ... + 13701658.

It is an arithmetic number, because the mean of its divisors is an integer number (74807712).

Almost surely, 2^7631668660 is an apocalyptic number.

7631668660 is a gapful number since it is divisible by the number (70) 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 7631668660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10772310528).

7631668660 is an abundant number, since it is smaller than the sum of its proper divisors (13912952396).

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

7631668660 is a wasteful number, since it uses less digits than its factorization.

7631668660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The square root of 7631668660 is about 87359.4222737307. The cubic root of 7631668660 is about 1968.8222202314.

The spelling of 7631668660 in words is "seven billion, six hundred thirty-one million, six hundred sixty-eight thousand, six hundred sixty".