98760679776 has 144 divisors (see below), whose sum is σ = 307722738960. Its totient is φ = 29796572160.

The previous prime is 98760679729. The next prime is 98760679837. The reversal of 98760679776 is 67797606789.

98760679776 is a `hidden beast` number, since 9 + 8 + 7 + 606 + 7 + 9 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 657406 + ... + 793538.

It is an arithmetic number, because the mean of its divisors is an integer number (2136963465).

Almost surely, 2^98760679776 is an apocalyptic number.

98760679776 is a gapful number since it is divisible by the number (96) 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 98760679776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153861369480).

98760679776 is an abundant number, since it is smaller than the sum of its proper divisors (208962059184).

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

98760679776 is a wasteful number, since it uses less digits than its factorization.

98760679776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136389 (or 136378 counting only the distinct ones).

The product of its (nonzero) digits is 336063168, while the sum is 72.

The spelling of 98760679776 in words is "ninety-eight billion, seven hundred sixty million, six hundred seventy-nine thousand, seven hundred seventy-six".