7425792000 has 576 divisors, whose sum is σ = 29298840480. Its totient is φ = 1794048000.

The previous prime is 7425791953. The next prime is 7425792013. The reversal of 7425792000 is 2975247.

It is a tau number, because it is divible by the number of its divisors (576).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25343854 + ... + 25344146.

Almost surely, 2^7425792000 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 7425792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14649420240).

7425792000 is an abundant number, since it is smaller than the sum of its proper divisors (21873048480).

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

7425792000 is a wasteful number, since it uses less digits than its factorization.

7425792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 7425792000 is about 86173.0352256435. The cubic root of 7425792000 is about 1950.9565326881.

The spelling of 7425792000 in words is "seven billion, four hundred twenty-five million, seven hundred ninety-two thousand".