7948358352 has 180 divisors, whose sum is σ = 25113275460. Its totient is φ = 2343306240.

The previous prime is 7948358287. The next prime is 7948358357. The reversal of 7948358352 is 2538538497.

7948358352 is a `hidden beast` number, since 7 + 9 + 4 + 8 + 3 + 583 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2829814416 + 5118543936 = 53196^2 + 71544^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7948358357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 638524 + ... + 650852.

It is an arithmetic number, because the mean of its divisors is an integer number (139518197).

Almost surely, 2^7948358352 is an apocalyptic number.

7948358352 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 7948358352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12556637730).

7948358352 is an abundant number, since it is smaller than the sum of its proper divisors (17164917108).

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

7948358352 is a wasteful number, since it uses less digits than its factorization.

7948358352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12402 (or 12382 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 7948358352 is about 89153.5661204867. The cubic root of 7948358352 is about 1995.6872360517.

The spelling of 7948358352 in words is "seven billion, nine hundred forty-eight million, three hundred fifty-eight thousand, three hundred fifty-two".