79262611806240 has 672 divisors, whose sum is σ = 298289966068080. Its totient is φ = 19856250150912.

The previous prime is 79262611806151. The next prime is 79262611806271. The reversal of 79262611806240 is 4260811626297.

79262611806240 is a `hidden beast` number, since 7 + 9 + 2 + 6 + 2 + 6 + 1 + 1 + 8 + 0 + 624 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 32728330673424 + 46534281132816 = 5720868^2 + 6821604^2 .

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

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 111 ways as a sum of consecutive naturals, for example, 124838062 + ... + 125471378.

Almost surely, 2^{79262611806240} 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 79262611806240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149144983034040).

79262611806240 is an abundant number, since it is smaller than the sum of its proper divisors (219027354261840).

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

79262611806240 is a wasteful number, since it uses less digits than its factorization.

79262611806240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633416 (or 633393 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 79262611806240 in words is "seventy-nine trillion, two hundred sixty-two billion, six hundred eleven million, eight hundred six thousand, two hundred forty".