7250745600 has 648 divisors, whose sum is σ = 30313337600. Its totient is φ = 1652797440.

The previous prime is 7250745559. The next prime is 7250745631. The reversal of 7250745600 is 65470527.

7250745600 is a `hidden beast` number, since 7 + 2 + 5 + 0 + 7 + 45 + 600 = 666.

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, 19756617 + ... + 19756983.

Almost surely, 2^7250745600 is an apocalyptic number.

7250745600 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 7250745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15156668800).

7250745600 is an abundant number, since it is smaller than the sum of its proper divisors (23062592000).

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

7250745600 is a wasteful number, since it uses less digits than its factorization.

7250745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 384 counting only the distinct ones).

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

The square root of 7250745600 is about 85151.3100310265. The cubic root of 7250745600 is about 1935.5046657551.

The spelling of 7250745600 in words is "seven billion, two hundred fifty million, seven hundred forty-five thousand, six hundred".