7972966400 has 312 divisors, whose sum is σ = 23157595200. Its totient is φ = 2721546240.

The previous prime is 7972966373. The next prime is 7972966411. The reversal of 7972966400 is 46692797.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35123087 + ... + 35123313.

Almost surely, 2^7972966400 is an apocalyptic number.

7972966400 is a gapful number since it is divisible by the number (70) 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 7972966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11578797600).

7972966400 is an abundant number, since it is smaller than the sum of its proper divisors (15184628800).

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

7972966400 is an equidigital number, since it uses as much as digits as its factorization.

7972966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 50.

The square root of 7972966400 is about 89291.4687974165. The cubic root of 7972966400 is about 1997.7446576715.

The spelling of 7972966400 in words is "seven billion, nine hundred seventy-two million, nine hundred sixty-six thousand, four hundred".