7442972160 has 320 divisors, whose sum is σ = 25870344192. Its totient is φ = 1814593536.

The previous prime is 7442972149. The next prime is 7442972183. The reversal of 7442972160 is 612792447.

It is a tau number, because it is divible by the number of its divisors (320).

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, 12679387 + ... + 12679973.

Almost surely, 2^7442972160 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 7442972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12935172096).

7442972160 is an abundant number, since it is smaller than the sum of its proper divisors (18427372032).

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

7442972160 is a wasteful number, since it uses less digits than its factorization.

7442972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 7442972160 is about 86272.6617185305. The cubic root of 7442972160 is about 1952.4599382014.

The spelling of 7442972160 in words is "seven billion, four hundred forty-two million, nine hundred seventy-two thousand, one hundred sixty".