7425257400 has 576 divisors, whose sum is σ = 28412467200. Its totient is φ = 1722240000.

The previous prime is 7425257387. The next prime is 7425257419. The reversal of 7425257400 is 47525247.

It is a happy number.

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 143 ways as a sum of consecutive naturals, for example, 73517350 + ... + 73517450.

It is an arithmetic number, because the mean of its divisors is an integer number (49327200).

Almost surely, 2^7425257400 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 7425257400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14206233600).

7425257400 is an abundant number, since it is smaller than the sum of its proper divisors (20987209800).

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

7425257400 is a wasteful number, since it uses less digits than its factorization.

7425257400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 7425257400 is about 86169.9332714143. The cubic root of 7425257400 is about 1950.9097136017.

The spelling of 7425257400 in words is "seven billion, four hundred twenty-five million, two hundred fifty-seven thousand, four hundred".