7312485600 has 900 divisors, whose sum is σ = 31771810224. Its totient is φ = 1635863040.

The previous prime is 7312485599. The next prime is 7312485617. The reversal of 7312485600 is 65842137.

7312485600 is a `hidden beast` number, since 7 + 3 + 1 + 2 + 48 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 155584777 + ... + 155584823.

Almost surely, 2^7312485600 is an apocalyptic number.

7312485600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7312485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15885905112).

7312485600 is an abundant number, since it is smaller than the sum of its proper divisors (24459324624).

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

7312485600 is an equidigital number, since it uses as much as digits as its factorization.

7312485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7312485600 is about 85513.0726848240. The cubic root of 7312485600 is about 1940.9827450814.

The spelling of 7312485600 in words is "seven billion, three hundred twelve million, four hundred eighty-five thousand, six hundred".