7625642400 has 576 divisors, whose sum is σ = 30766780800. Its totient is φ = 1811496960.

The previous prime is 7625642377. The next prime is 7625642411. The reversal of 7625642400 is 42465267.

7625642400 is a `hidden beast` number, since 7 + 6 + 2 + 5 + 642 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×7625642400³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6976254 + ... + 6977346.

It is an arithmetic number, because the mean of its divisors is an integer number (53414550).

Almost surely, 2^7625642400 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 7625642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15383390400).

7625642400 is an abundant number, since it is smaller than the sum of its proper divisors (23141138400).

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

7625642400 is a wasteful number, since it uses less digits than its factorization.

7625642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 7625642400 is about 87324.9242770928. The cubic root of 7625642400 is about 1968.3038644424.

The spelling of 7625642400 in words is "seven billion, six hundred twenty-five million, six hundred forty-two thousand, four hundred".