7923663972 has 180 divisors, whose sum is σ = 24183723564. Its totient is φ = 2255662080.

The previous prime is 7923663961. The next prime is 7923663983. The reversal of 7923663972 is 2793663297.

It is an interprime number because it is at equal distance from previous prime (7923663961) and next prime (7923663983).

It can be written as a sum of positive squares in 2 ways, for example, as 2747437056 + 5176226916 = 52416^2 + 71946^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 5349472 + ... + 5350952.

Almost surely, 2^7923663972 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 7923663972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12091861782).

7923663972 is an abundant number, since it is smaller than the sum of its proper divisors (16260059592).

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

7923663972 is a wasteful number, since it uses less digits than its factorization.

7923663972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1830 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 7923663972 is about 89014.9648766992. The cubic root of 7923663972 is about 1993.6183230915.

The spelling of 7923663972 in words is "seven billion, nine hundred twenty-three million, six hundred sixty-three thousand, nine hundred seventy-two".