7638107904 has 432 divisors, whose sum is σ = 26784576000. Its totient is φ = 2046173184.

The previous prime is 7638107849. The next prime is 7638107921. The reversal of 7638107904 is 4097018367.

7638107904 is a `hidden beast` number, since 7 + 638 + 1 + 0 + 7 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7638107904.

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, 21885522 + ... + 21885870.

Almost surely, 2^7638107904 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 7638107904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392288000).

7638107904 is an abundant number, since it is smaller than the sum of its proper divisors (19146468096).

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

7638107904 is a wasteful number, since it uses less digits than its factorization.

7638107904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7638107904 is about 87396.2693940651. The cubic root of 7638107904 is about 1969.3757978424.

The spelling of 7638107904 in words is "seven billion, six hundred thirty-eight million, one hundred seven thousand, nine hundred four".