7485596800 has 192 divisors, whose sum is σ = 20368339200. Its totient is φ = 2695680000.

The previous prime is 7485596777. The next prime is 7485596803. The reversal of 7485596800 is 86955847.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7485596803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3835825 + ... + 3837775.

It is an arithmetic number, because the mean of its divisors is an integer number (106085100).

Almost surely, 2^7485596800 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 7485596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10184169600).

7485596800 is an abundant number, since it is smaller than the sum of its proper divisors (12882742400).

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

7485596800 is a wasteful number, since it uses less digits than its factorization.

7485596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The square root of 7485596800 is about 86519.3435019014. The cubic root of 7485596800 is about 1956.1799815705.

The spelling of 7485596800 in words is "seven billion, four hundred eighty-five million, five hundred ninety-six thousand, eight hundred".