7474239360 has 640 divisors, whose sum is σ = 31279564800. Its totient is φ = 1665183744.

The previous prime is 7474239359. The next prime is 7474239419. The reversal of 7474239360 is 639324747.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15603601 + ... + 15604079.

It is an arithmetic number, because the mean of its divisors is an integer number (48874320).

Almost surely, 2^7474239360 is an apocalyptic number.

7474239360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7474239360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15639782400).

7474239360 is an abundant number, since it is smaller than the sum of its proper divisors (23805325440).

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

7474239360 is a wasteful number, since it uses less digits than its factorization.

7474239360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 7474239360 is about 86453.6833223432. The cubic root of 7474239360 is about 1955.1901498928.

The spelling of 7474239360 in words is "seven billion, four hundred seventy-four million, two hundred thirty-nine thousand, three hundred sixty".