7972346880 has 264 divisors, whose sum is σ = 28520179584. Its totient is φ = 2057011200.

The previous prime is 7972346801. The next prime is 7972346891. The reversal of 7972346880 is 886432797.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1425690 + ... + 1431270.

Almost surely, 2^7972346880 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 7972346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14260089792).

7972346880 is an abundant number, since it is smaller than the sum of its proper divisors (20547832704).

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

7972346880 is a wasteful number, since it uses less digits than its factorization.

7972346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5643 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 7972346880 is about 89287.9996416092. Note that the first 3 decimals coincide. The cubic root of 7972346880 is about 1997.6929130315.

The spelling of 7972346880 in words is "seven billion, nine hundred seventy-two million, three hundred forty-six thousand, eight hundred eighty".