79414110720 has 560 divisors, whose sum is σ = 326317685760. Its totient is φ = 18148810752.

The previous prime is 79414110673. The next prime is 79414110749. The reversal of 79414110720 is 2701141497.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13060641 + ... + 13066719.

Almost surely, 2^79414110720 is an apocalyptic number.

79414110720 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 79414110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163158842880).

79414110720 is an abundant number, since it is smaller than the sum of its proper divisors (246903575040).

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

79414110720 is an frugal number, since it uses more digits than its factorization.

79414110720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6127 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 79414110720 in words is "seventy-nine billion, four hundred fourteen million, one hundred ten thousand, seven hundred twenty".