7950279168 has 480 divisors, whose sum is σ = 26418934080. Its totient is φ = 2357821440.

The previous prime is 7950279157. The next prime is 7950279191. The reversal of 7950279168 is 8619720597.

7950279168 is a `hidden beast` number, since 7 + 9 + 502 + 79 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95786455 + ... + 95786537.

It is an arithmetic number, because the mean of its divisors is an integer number (55039446).

Almost surely, 2^7950279168 is an apocalyptic number.

7950279168 is a gapful number since it is divisible by the number (78) 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 7950279168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13209467040).

7950279168 is an abundant number, since it is smaller than the sum of its proper divisors (18468654912).

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

7950279168 is a wasteful number, since it uses less digits than its factorization.

7950279168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 7950279168 is about 89164.3379832991. The cubic root of 7950279168 is about 1995.8479836784.

The spelling of 7950279168 in words is "seven billion, nine hundred fifty million, two hundred seventy-nine thousand, one hundred sixty-eight".