7825402992 has 240 divisors, whose sum is σ = 22988528640. Its totient is φ = 2290844160.

The previous prime is 7825402969. The next prime is 7825403017. The reversal of 7825402992 is 2992045287.

It is a super-2 number, since 2×7825402992² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29754253 + ... + 29754515.

It is an arithmetic number, because the mean of its divisors is an integer number (95785536).

Almost surely, 2^7825402992 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 7825402992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11494264320).

7825402992 is an abundant number, since it is smaller than the sum of its proper divisors (15163125648).

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

7825402992 is a wasteful number, since it uses less digits than its factorization.

7825402992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 7825402992 is about 88461.3078809035. The cubic root of 7825402992 is about 1985.3430993538.

The spelling of 7825402992 in words is "seven billion, eight hundred twenty-five million, four hundred two thousand, nine hundred ninety-two".