7472576640 has 128 divisors (see below), whose sum is σ = 23852822400. Its totient is φ = 1989844992.

The previous prime is 7472576609. The next prime is 7472576659. The reversal of 7472576640 is 466752747.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7472576640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1577796 + ... + 1582524.

It is an arithmetic number, because the mean of its divisors is an integer number (186350175).

Almost surely, 2^7472576640 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 7472576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11926411200).

7472576640 is an abundant number, since it is smaller than the sum of its proper divisors (16380245760).

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

7472576640 is a wasteful number, since it uses less digits than its factorization.

7472576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The square root of 7472576640 is about 86444.0665401623. The cubic root of 7472576640 is about 1955.0451552115.

The spelling of 7472576640 in words is "seven billion, four hundred seventy-two million, five hundred seventy-six thousand, six hundred forty".