79491709440 has 960 divisors, whose sum is σ = 337815878400. Its totient is φ = 16998727680.

The previous prime is 79491709403. The next prime is 79491709469. The reversal of 79491709440 is 4490719497.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×79491709440² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75778036 + ... + 75779084.

It is an arithmetic number, because the mean of its divisors is an integer number (351891540).

Almost surely, 2^79491709440 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 79491709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168907939200).

79491709440 is an abundant number, since it is smaller than the sum of its proper divisors (258324168960).

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

79491709440 is a wasteful number, since it uses less digits than its factorization.

79491709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 79491709440 in words is "seventy-nine billion, four hundred ninety-one million, seven hundred nine thousand, four hundred forty".