7604971632 has 80 divisors (see below), whose sum is σ = 21869671680. Its totient is φ = 2530277568.

The previous prime is 7604971631. The next prime is 7604971639. The reversal of 7604971632 is 2361794067.

7604971632 is a `hidden beast` number, since 7 + 6 + 0 + 4 + 9 + 7 + 1 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7604971631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220213 + ... + 252395.

It is an arithmetic number, because the mean of its divisors is an integer number (273370896).

Almost surely, 2^7604971632 is an apocalyptic number.

7604971632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7604971632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10934835840).

7604971632 is an abundant number, since it is smaller than the sum of its proper divisors (14264700048).

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

7604971632 is a wasteful number, since it uses less digits than its factorization.

7604971632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32747 (or 32735 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 7604971632 is about 87206.4884741955. The cubic root of 7604971632 is about 1966.5237665138.

It can be divided in two parts, 760497 and 1632, that added together give a square (762129 = 873²).

The spelling of 7604971632 in words is "seven billion, six hundred four million, nine hundred seventy-one thousand, six hundred thirty-two".