7464075264 has 240 divisors, whose sum is σ = 22648550400. Its totient is φ = 2428305408.

The previous prime is 7464075259. The next prime is 7464075271. The reversal of 7464075264 is 4625704647.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20791117 + ... + 20791475.

It is an arithmetic number, because the mean of its divisors is an integer number (94368960).

Almost surely, 2^7464075264 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 7464075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11324275200).

7464075264 is an abundant number, since it is smaller than the sum of its proper divisors (15184475136).

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

7464075264 is an equidigital number, since it uses as much as digits as its factorization.

7464075264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The square root of 7464075264 is about 86394.8798482873. The cubic root of 7464075264 is about 1954.3034707968.

The spelling of 7464075264 in words is "seven billion, four hundred sixty-four million, seventy-five thousand, two hundred sixty-four".