79671117240 has 1152 divisors, whose sum is σ = 333390919680. Its totient is φ = 16852147200.

The previous prime is 79671117223. The next prime is 79671117241. The reversal of 79671117240 is 4271117697.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79671117241) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1852816659 + ... + 1852816701.

It is an arithmetic number, because the mean of its divisors is an integer number (289401840).

Almost surely, 2^79671117240 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 79671117240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166695459840).

79671117240 is an abundant number, since it is smaller than the sum of its proper divisors (253719802440).

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

79671117240 is a wasteful number, since it uses less digits than its factorization.

79671117240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 79671117240 in words is "seventy-nine billion, six hundred seventy-one million, one hundred seventeen thousand, two hundred forty".