7472672880 has 160 divisors (see below), whose sum is σ = 23784192000. Its totient is φ = 1939931136.

The previous prime is 7472672873. The next prime is 7472672917. The reversal of 7472672880 is 882762747.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2243056 + ... + 2246384.

It is an arithmetic number, because the mean of its divisors is an integer number (148651200).

Almost surely, 2^7472672880 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 7472672880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11892096000).

7472672880 is an abundant number, since it is smaller than the sum of its proper divisors (16311519120).

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

7472672880 is a wasteful number, since it uses less digits than its factorization.

7472672880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 51.

The square root of 7472672880 is about 86444.6231989012. The cubic root of 7472672880 is about 1955.0535482441.

The spelling of 7472672880 in words is "seven billion, four hundred seventy-two million, six hundred seventy-two thousand, eight hundred eighty".