7479997574400 has 1728 divisors, whose sum is σ = 30257780044800. Its totient is φ = 1797004984320.

The previous prime is 7479997574377. The next prime is 7479997574419. The reversal of 7479997574400 is 44757999747.

7479997574400 is a `hidden beast` number, since 7 + 4 + 7 + 9 + 9 + 9 + 7 + 574 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20053612614 + ... + 20053612986.

Almost surely, 2^{7479997574400} 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 7479997574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15128890022400).

7479997574400 is an abundant number, since it is smaller than the sum of its proper divisors (22777782470400).

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

7479997574400 is a wasteful number, since it uses less digits than its factorization.

7479997574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 560105280, while the sum is 72.

The spelling of 7479997574400 in words is "seven trillion, four hundred seventy-nine billion, nine hundred ninety-seven million, five hundred seventy-four thousand, four hundred".