7488368000 has 128 divisors (see below), whose sum is σ = 18679096800. Its totient is φ = 2985523200.

The previous prime is 7488367993. The next prime is 7488368021. The reversal of 7488368000 is 8638847.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 6703442 + ... + 6704558.

Almost surely, 2^7488368000 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 7488368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9339548400).

7488368000 is an abundant number, since it is smaller than the sum of its proper divisors (11190728800).

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

7488368000 is a wasteful number, since it uses less digits than its factorization.

7488368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 7488368000 is about 86535.3569357635. The cubic root of 7488368000 is about 1956.4213471909.

The spelling of 7488368000 in words is "seven billion, four hundred eighty-eight million, three hundred sixty-eight thousand".