79976666697984 has 288 divisors, whose sum is σ = 270842084782080. Its totient is φ = 22803930777600.

The previous prime is 79976666697953. The next prime is 79976666698037. The reversal of 79976666697984 is 48979666667997.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×79976666697984² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22073289 + ... + 25439799.

Almost surely, 2^{79976666697984} 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 79976666697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135421042391040).

79976666697984 is an abundant number, since it is smaller than the sum of its proper divisors (190865418084096).

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

79976666697984 is a wasteful number, since it uses less digits than its factorization.

79976666697984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367034 (or 3367014 counting only the distinct ones).

The product of its digits is 559977255936, while the sum is 99.

The spelling of 79976666697984 in words is "seventy-nine trillion, nine hundred seventy-six billion, six hundred sixty-six million, six hundred ninety-seven thousand, nine hundred eighty-four".