7634939904 has 416 divisors, whose sum is σ = 24911124480. Its totient is φ = 2300313600.

The previous prime is 7634939903. The next prime is 7634939929. The reversal of 7634939904 is 4099394367.

7634939904 is a `hidden beast` number, since 7 + 63 + 493 + 9 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7634939903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58281919 + ... + 58282049.

Almost surely, 2^7634939904 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 7634939904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12455562240).

7634939904 is an abundant number, since it is smaller than the sum of its proper divisors (17276184576).

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

7634939904 is a wasteful number, since it uses less digits than its factorization.

7634939904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 7634939904 is about 87378.1431709326. The cubic root of 7634939904 is about 1969.1034858436.

The spelling of 7634939904 in words is "seven billion, six hundred thirty-four million, nine hundred thirty-nine thousand, nine hundred four".