79935687440 has 240 divisors, whose sum is σ = 220606416000. Its totient is φ = 26850410496.

The previous prime is 79935687439. The next prime is 79935687451. The reversal of 79935687440 is 4478653997.

It is a Cunningham number, because it is equal to 282729²-1.

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, 133448261 + ... + 133448859.

It is an arithmetic number, because the mean of its divisors is an integer number (919193400).

Almost surely, 2^79935687440 is an apocalyptic number.

79935687440 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 79935687440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110303208000).

79935687440 is an abundant number, since it is smaller than the sum of its proper divisors (140670728560).

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

79935687440 is a wasteful number, since it uses less digits than its factorization.

79935687440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 62.

It can be divided in two parts, 7993568 and 7440, that added together give a palindrome (8001008).

The spelling of 79935687440 in words is "seventy-nine billion, nine hundred thirty-five million, six hundred eighty-seven thousand, four hundred forty".