7972263936000 has 2880 divisors, whose sum is σ = 36468570028800. Its totient is φ = 1664719257600.

The previous prime is 7972263935773. The next prime is 7972263936001. The reversal of 7972263936000 is 6393622797.

7972263936000 is a `hidden beast` number, since 7 + 9 + 7 + 2 + 26 + 3 + 9 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972263936001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82188287952 + ... + 82188288048.

Almost surely, 2^{7972263936000} is an apocalyptic number.

7972263936000 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 7972263936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18234285014400).

7972263936000 is an abundant number, since it is smaller than the sum of its proper divisors (28496306092800).

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

7972263936000 is an equidigital number, since it uses as much as digits as its factorization.

7972263936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 127 counting only the distinct ones).

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

The spelling of 7972263936000 in words is "seven trillion, nine hundred seventy-two billion, two hundred sixty-three million, nine hundred thirty-six thousand".