7972268640 has 288 divisors, whose sum is σ = 30005476704. Its totient is φ = 1772789760.

The previous prime is 7972268627. The next prime is 7972268641. The reversal of 7972268640 is 468622797.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972268641) 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 47 ways as a sum of consecutive naturals, for example, 865660 + ... + 874820.

It is an arithmetic number, because the mean of its divisors is an integer number (104185683).

Almost surely, 2^7972268640 is an apocalyptic number.

7972268640 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 7972268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15002738352).

7972268640 is an abundant number, since it is smaller than the sum of its proper divisors (22033208064).

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

7972268640 is a wasteful number, since it uses less digits than its factorization.

7972268640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9230 (or 9215 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The square root of 7972268640 is about 89287.5615077487. The cubic root of 7972268640 is about 1997.6863779419.

The spelling of 7972268640 in words is "seven billion, nine hundred seventy-two million, two hundred sixty-eight thousand, six hundred forty".