7488479296 has 63 divisors (see below), whose sum is σ = 15431403351. Its totient is φ = 3605435904.

The previous prime is 7488479281. The next prime is 7488479347. The reversal of 7488479296 is 6929748847.

The square root of 7488479296 is 86536.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 34574400 + 7453904896 = 5880^2 + 86336^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 20076166 + ... + 20076538.

Almost surely, 2^7488479296 is an apocalyptic number.

7488479296 is the 86536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7488479296

7488479296 is an abundant number, since it is smaller than the sum of its proper divisors (7942924055).

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

7488479296 is an frugal number, since it uses more digits than its factorization.

7488479296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 404 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 64.

The cubic root of 7488479296 is about 1956.4310395917.

Multiplying 7488479296 by its sum of digits (64), we get a square (479262674944 = 692288²).

7488479296 divided by its sum of digits (64) gives a square (117007489 = 10817²).

The spelling of 7488479296 in words is "seven billion, four hundred eighty-eight million, four hundred seventy-nine thousand, two hundred ninety-six".