7823732904 has 192 divisors, whose sum is σ = 24115291200. Its totient is φ = 2271587328.

The previous prime is 7823732863. The next prime is 7823732927. The reversal of 7823732904 is 4092373287.

It is a super-2 number, since 2×7823732904² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7823732904.

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, 5458972 + ... + 5460404.

It is an arithmetic number, because the mean of its divisors is an integer number (125600475).

Almost surely, 2^7823732904 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 7823732904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12057645600).

7823732904 is an abundant number, since it is smaller than the sum of its proper divisors (16291558296).

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

7823732904 is a wasteful number, since it uses less digits than its factorization.

7823732904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 7823732904 is about 88451.8677247688. The cubic root of 7823732904 is about 1985.2018528010.

The spelling of 7823732904 in words is "seven billion, eight hundred twenty-three million, seven hundred thirty-two thousand, nine hundred four".