79949168640 has 1024 divisors, whose sum is σ = 326144102400. Its totient is φ = 18402508800.

The previous prime is 79949168633. The next prime is 79949168657. The reversal of 79949168640 is 4686194997.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1508474854 + ... + 1508474906.

It is an arithmetic number, because the mean of its divisors is an integer number (318500100).

Almost surely, 2^79949168640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79949168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163072051200).

79949168640 is an abundant number, since it is smaller than the sum of its proper divisors (246194933760).

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

79949168640 is a wasteful number, since it uses less digits than its factorization.

79949168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 79949168640 in words is "seventy-nine billion, nine hundred forty-nine million, one hundred sixty-eight thousand, six hundred forty".