7488093883600 has 960 divisors, whose sum is σ = 22690547712000. Its totient is φ = 2338025472000.

The previous prime is 7488093883577. The next prime is 7488093883603. The reversal of 7488093883600 is 63883908847.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7488093883603) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15375962557 + ... + 15375963043.

It is an arithmetic number, because the mean of its divisors is an integer number (23635987200).

Almost surely, 2^{7488093883600} 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 7488093883600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11345273856000).

7488093883600 is an abundant number, since it is smaller than the sum of its proper divisors (15202453828400).

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

7488093883600 is a wasteful number, since it uses less digits than its factorization.

7488093883600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 64.

The spelling of 7488093883600 in words is "seven trillion, four hundred eighty-eight billion, ninety-three million, eight hundred eighty-three thousand, six hundred".