7948335672 has 48 divisors (see below), whose sum is σ = 21531126240. Its totient is φ = 2648905728.

The previous prime is 7948335667. The next prime is 7948335679. The reversal of 7948335672 is 2765338497.

7948335672 is a `hidden beast` number, since 7 + 9 + 48 + 33 + 567 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7948335679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514168 + ... + 529400.

It is an arithmetic number, because the mean of its divisors is an integer number (448565130).

Almost surely, 2^7948335672 is an apocalyptic number.

7948335672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7948335672 is an abundant number, since it is smaller than the sum of its proper divisors (13582790568).

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

7948335672 is a wasteful number, since it uses less digits than its factorization.

7948335672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22492 (or 22485 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 7948335672 is about 89153.4389241380. The cubic root of 7948335672 is about 1995.6853378723.

The spelling of 7948335672 in words is "seven billion, nine hundred forty-eight million, three hundred thirty-five thousand, six hundred seventy-two".