7479923724 has 384 divisors, whose sum is σ = 25762867200. Its totient is φ = 1821450240.

The previous prime is 7479923713. The next prime is 7479923747. The reversal of 7479923724 is 4273299747.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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 127 ways as a sum of consecutive naturals, for example, 7655524 + ... + 7656500.

It is an arithmetic number, because the mean of its divisors is an integer number (67090800).

Almost surely, 2^7479923724 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 7479923724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12881433600).

7479923724 is an abundant number, since it is smaller than the sum of its proper divisors (18282943476).

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

7479923724 is a wasteful number, since it uses less digits than its factorization.

7479923724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1062 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The square root of 7479923724 is about 86486.5522725932. The cubic root of 7479923724 is about 1955.6856828674.

The spelling of 7479923724 in words is "seven billion, four hundred seventy-nine million, nine hundred twenty-three thousand, seven hundred twenty-four".