8319813972 has 24 divisors (see below), whose sum is σ = 19886385792. Its totient is φ = 2705630400.

The previous prime is 8319813967. The next prime is 8319813977. The reversal of 8319813972 is 2793189138.

It is an interprime number because it is at equal distance from previous prime (8319813967) and next prime (8319813977).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8319813977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8454604 + ... + 8455587.

It is an arithmetic number, because the mean of its divisors is an integer number (828599408).

Almost surely, 2^8319813972 is an apocalyptic number.

8319813972 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

8319813972 is an abundant number, since it is smaller than the sum of its proper divisors (11566571820).

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

8319813972 is a wasteful number, since it uses less digits than its factorization.

8319813972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16910239 (or 16910237 counting only the distinct ones).

The product of its digits is 653184, while the sum is 51.

The square root of 8319813972 is about 91213.0142687983. The cubic root of 8319813972 is about 2026.3037052828.

The spelling of 8319813972 in words is "eight billion, three hundred nineteen million, eight hundred thirteen thousand, nine hundred seventy-two".