7631056400 has 120 divisors (see below), whose sum is σ = 20114114400. Its totient is φ = 2759142400.

The previous prime is 7631056397. The next prime is 7631056417. The reversal of 7631056400 is 46501367.

It is a super-3 number, since 3×7631056400³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 782756 + ... + 792444.

It is an arithmetic number, because the mean of its divisors is an integer number (167617620).

Almost surely, 2^7631056400 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 7631056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10057057200).

7631056400 is an abundant number, since it is smaller than the sum of its proper divisors (12483058000).

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

7631056400 is a wasteful number, since it uses less digits than its factorization.

7631056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9897 (or 9886 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 7631056400 is about 87355.9179449223. The cubic root of 7631056400 is about 1968.7695684290.

Adding to 7631056400 its reverse (46501367), we get a palindrome (7677557767).

The spelling of 7631056400 in words is "seven billion, six hundred thirty-one million, fifty-six thousand, four hundred".