79649156160 has 672 divisors, whose sum is σ = 333107873280. Its totient is φ = 17052401664.

The previous prime is 79649156087. The next prime is 79649156173. The reversal of 79649156160 is 6165194697.

It is a happy number.

79649156160 is a `hidden beast` number, since 7 + 9 + 6 + 4 + 9 + 15 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 79649156097 and 79649156106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94933021 + ... + 94933859.

It is an arithmetic number, because the mean of its divisors is an integer number (495696240).

Almost surely, 2^79649156160 is an apocalyptic number.

79649156160 is a gapful number since it is divisible by the number (70) 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 79649156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166553936640).

79649156160 is an abundant number, since it is smaller than the sum of its proper divisors (253458717120).

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

79649156160 is a wasteful number, since it uses less digits than its factorization.

79649156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 79649156160 in words is "seventy-nine billion, six hundred forty-nine million, one hundred fifty-six thousand, one hundred sixty".