7945916352 has 224 divisors, whose sum is σ = 24584338944. Its totient is φ = 2240409600.

The previous prime is 7945916333. The next prime is 7945916353. The reversal of 7945916352 is 2536195497.

It is a junction number, because it is equal to n+sod(n) for n = 7945916295 and 7945916304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7945916353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1795102 + ... + 1799522.

Almost surely, 2^7945916352 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 7945916352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12292169472).

7945916352 is an abundant number, since it is smaller than the sum of its proper divisors (16638422592).

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

7945916352 is a wasteful number, since it uses less digits than its factorization.

7945916352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507 (or 4497 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 51.

The square root of 7945916352 is about 89139.8695982892. The cubic root of 7945916352 is about 1995.4828346228.

The spelling of 7945916352 in words is "seven billion, nine hundred forty-five million, nine hundred sixteen thousand, three hundred fifty-two".