7479141264 has 240 divisors, whose sum is σ = 25164907200. Its totient is φ = 2120477184.

The previous prime is 7479141227. The next prime is 7479141289. The reversal of 7479141264 is 4621419747.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2898727 + ... + 2901305.

It is an arithmetic number, because the mean of its divisors is an integer number (104853780).

Almost surely, 2^7479141264 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 7479141264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582453600).

7479141264 is an abundant number, since it is smaller than the sum of its proper divisors (17685765936).

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

7479141264 is a wasteful number, since it uses less digits than its factorization.

7479141264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2728 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7479141264 is about 86482.0285608519. The cubic root of 7479141264 is about 1955.6174870213.

The spelling of 7479141264 in words is "seven billion, four hundred seventy-nine million, one hundred forty-one thousand, two hundred sixty-four".