7825966356 has 96 divisors (see below), whose sum is σ = 20017589760. Its totient is φ = 2365064064.

The previous prime is 7825966319. The next prime is 7825966397. The reversal of 7825966356 is 6536695287.

It is a happy number.

It is a super-2 number, since 2×7825966356² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7825966296 and 7825966305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4378495 + ... + 4380281.

It is an arithmetic number, because the mean of its divisors is an integer number (208516560).

Almost surely, 2^7825966356 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 7825966356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10008794880).

7825966356 is an abundant number, since it is smaller than the sum of its proper divisors (12191623404).

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

7825966356 is a wasteful number, since it uses less digits than its factorization.

7825966356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2291 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 57.

The square root of 7825966356 is about 88464.4920632001. The cubic root of 7825966356 is about 1985.3907409467.

The spelling of 7825966356 in words is "seven billion, eight hundred twenty-five million, nine hundred sixty-six thousand, three hundred fifty-six".