7479552960 has 560 divisors, whose sum is σ = 29851319520. Its totient is φ = 1761730560.

The previous prime is 7479552959. The next prime is 7479552967. The reversal of 7479552960 is 692559747.

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

It is a junction number, because it is equal to n+sod(n) for n = 7479552897 and 7479552906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7479552967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10549086 + ... + 10549794.

Almost surely, 2^7479552960 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 7479552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14925659760).

7479552960 is an abundant number, since it is smaller than the sum of its proper divisors (22371766560).

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

7479552960 is a wasteful number, since it uses less digits than its factorization.

7479552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The square root of 7479552960 is about 86484.4087682861. The cubic root of 7479552960 is about 1955.6533692657.

The spelling of 7479552960 in words is "seven billion, four hundred seventy-nine million, five hundred fifty-two thousand, nine hundred sixty".