79901198687376 has 480 divisors, whose sum is σ = 269035655616000. Its totient is φ = 22701645066240.

The previous prime is 79901198687369. The next prime is 79901198687399. The reversal of 79901198687376 is 67378689110997.

79901198687376 is a `hidden beast` number, since 7 + 9 + 90 + 1 + 1 + 9 + 86 + 87 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 79901198687295 and 79901198687304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78314575 + ... + 79328273.

It is an arithmetic number, because the mean of its divisors is an integer number (560490949200).

Almost surely, 2^{79901198687376} is an apocalyptic number.

79901198687376 is a gapful number since it is divisible by the number (76) 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 79901198687376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134517827808000).

79901198687376 is an abundant number, since it is smaller than the sum of its proper divisors (189134456928624).

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

79901198687376 is a wasteful number, since it uses less digits than its factorization.

79901198687376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013849 (or 1013831 counting only the distinct ones).

The product of its (nonzero) digits is 1728324864, while the sum is 81.

The spelling of 79901198687376 in words is "seventy-nine trillion, nine hundred one billion, one hundred ninety-eight million, six hundred eighty-seven thousand, three hundred seventy-six".