7250475600 has 360 divisors, whose sum is σ = 26746513560. Its totient is φ = 1815367680.

The previous prime is 7250475553. The next prime is 7250475647. The reversal of 7250475600 is 65740527.

7250475600 is a `hidden beast` number, since 7 + 2 + 5 + 0 + 47 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (7250475553) and next prime (7250475647).

It can be written as a sum of positive squares in 12 ways, for example, as 380718144 + 6869757456 = 19512^2 + 82884^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3861862 + ... + 3863738.

It is an arithmetic number, because the mean of its divisors is an integer number (74295871).

Almost surely, 2^7250475600 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 7250475600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373256780).

7250475600 is an abundant number, since it is smaller than the sum of its proper divisors (19496037960).

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

7250475600 is a wasteful number, since it uses less digits than its factorization.

7250475600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 7250475600 is about 85149.7246031953. The cubic root of 7250475600 is about 1935.4806409731.

The spelling of 7250475600 in words is "seven billion, two hundred fifty million, four hundred seventy-five thousand, six hundred".