7972957440 has 288 divisors, whose sum is σ = 32335752960. Its totient is φ = 1822334976.

The previous prime is 7972957423. The next prime is 7972957463. The reversal of 7972957440 is 447592797.

7972957440 is a `hidden beast` number, since 7 + 9 + 7 + 29 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225442 + ... + 258398.

It is an arithmetic number, because the mean of its divisors is an integer number (112276920).

Almost surely, 2^7972957440 is an apocalyptic number.

7972957440 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 7972957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16167876480).

7972957440 is an abundant number, since it is smaller than the sum of its proper divisors (24362795520).

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

7972957440 is a wasteful number, since it uses less digits than its factorization.

7972957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32994 (or 32974 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 7972957440 is about 89291.4186246360. The cubic root of 7972957440 is about 1997.7439093177.

The spelling of 7972957440 in words is "seven billion, nine hundred seventy-two million, nine hundred fifty-seven thousand, four hundred forty".