7951349952 has 378 divisors, whose sum is σ = 28725597108. Its totient is φ = 2095801344.

The previous prime is 7951349947. The next prime is 7951349971. The reversal of 7951349952 is 2599431597.

7951349952 is a `hidden beast` number, since 7 + 95 + 13 + 499 + 52 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4769023 + ... + 4770689.

Almost surely, 2^7951349952 is an apocalyptic number.

7951349952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7951349952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362798554).

7951349952 is an abundant number, since it is smaller than the sum of its proper divisors (20774247156).

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

7951349952 is a wasteful number, since it uses less digits than its factorization.

7951349952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1692 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 54.

The square root of 7951349952 is about 89170.3423342089. The cubic root of 7951349952 is about 1995.9375833055.

The spelling of 7951349952 in words is "seven billion, nine hundred fifty-one million, three hundred forty-nine thousand, nine hundred fifty-two".