7472536934400 has 2016 divisors, whose sum is σ = 30070091797200. Its totient is φ = 1834588569600.

The previous prime is 7472536934309. The next prime is 7472536934407. The reversal of 7472536934400 is 44396352747.

It is a happy number.

7472536934400 is a `hidden beast` number, since 7 + 4 + 72 + 536 + 9 + 34 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7472536934407) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 29076019072 + ... + 29076019328.

Almost surely, 2^{7472536934400} 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 7472536934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15035045898600).

7472536934400 is an abundant number, since it is smaller than the sum of its proper divisors (22597554862800).

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

7472536934400 is a wasteful number, since it uses less digits than its factorization.

7472536934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 7472536934400 in words is "seven trillion, four hundred seventy-two billion, five hundred thirty-six million, nine hundred thirty-four thousand, four hundred".