79416288216720 has 240 divisors, whose sum is σ = 328253991566592. Its totient is φ = 16755964093440.

The previous prime is 79416288216673. The next prime is 79416288216721. The reversal of 79416288216720 is 2761288261497.

It is a happy number.

79416288216720 is a `hidden beast` number, since 79 + 4 + 1 + 6 + 288 + 216 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×79416288216720² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (79416288216721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 605980636 + ... + 606111675.

Almost surely, 2^{79416288216720} is an apocalyptic number.

79416288216720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

79416288216720 is an abundant number, since it is smaller than the sum of its proper divisors (248837703349872).

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

79416288216720 is a wasteful number, since it uses less digits than its factorization.

79416288216720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212092350 (or 1212092341 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 79416288216720 in words is "seventy-nine trillion, four hundred sixteen billion, two hundred eighty-eight million, two hundred sixteen thousand, seven hundred twenty".