7631682960 has 240 divisors, whose sum is σ = 26253944640. Its totient is φ = 1832371200.

The previous prime is 7631682953. The next prime is 7631682979. The reversal of 7631682960 is 692861367.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×7631682960³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3164155 + ... + 3166565.

It is an arithmetic number, because the mean of its divisors is an integer number (109391436).

Almost surely, 2^7631682960 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 7631682960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13126972320).

7631682960 is an abundant number, since it is smaller than the sum of its proper divisors (18622261680).

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

7631682960 is a wasteful number, since it uses less digits than its factorization.

7631682960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 7631682960 is about 87359.5041194717. The cubic root of 7631682960 is about 1968.8234499380.

The spelling of 7631682960 in words is "seven billion, six hundred thirty-one million, six hundred eighty-two thousand, nine hundred sixty".