7638524496 has 240 divisors, whose sum is σ = 22934246400. Its totient is φ = 2368880640.

The previous prime is 7638524489. The next prime is 7638524501. The reversal of 7638524496 is 6944258367.

7638524496 is a `hidden beast` number, since 76 + 3 + 8 + 524 + 49 + 6 = 666.

It is a congruent number.

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, 17012080 + ... + 17012528.

It is an arithmetic number, because the mean of its divisors is an integer number (95559360).

Almost surely, 2^7638524496 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 7638524496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11467123200).

7638524496 is an abundant number, since it is smaller than the sum of its proper divisors (15295721904).

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

7638524496 is a wasteful number, since it uses less digits than its factorization.

7638524496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 625 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 7638524496 is about 87398.6527127278. The cubic root of 7638524496 is about 1969.4116012681.

The spelling of 7638524496 in words is "seven billion, six hundred thirty-eight million, five hundred twenty-four thousand, four hundred ninety-six".