7122585600 has 864 divisors, whose sum is σ = 29111027400. Its totient is φ = 1651507200.

The previous prime is 7122585563. The next prime is 7122585607. The reversal of 7122585600 is 65852217.

It is a happy number.

7122585600 is a `hidden beast` number, since 7 + 12 + 2 + 585 + 60 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 322274304 + 6800311296 = 17952^2 + 82464^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7122585607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 173721580 + ... + 173721620.

Almost surely, 2^7122585600 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 7122585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14555513700).

7122585600 is an abundant number, since it is smaller than the sum of its proper divisors (21988441800).

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

7122585600 is a wasteful number, since it uses less digits than its factorization.

7122585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 7122585600 is about 84395.4121975833. The cubic root of 7122585600 is about 1924.0331885418.

The spelling of 7122585600 in words is "seven billion, one hundred twenty-two million, five hundred eighty-five thousand, six hundred".