98976273984 has 336 divisors, whose sum is σ = 333842449408. Its totient is φ = 27444178944.

The previous prime is 98976273967. The next prime is 98976274031. The reversal of 98976273984 is 48937267989.

98976273984 is a `hidden beast` number, since 98 + 97 + 62 + 7 + 398 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90554142 + ... + 90555234.

Almost surely, 2^98976273984 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 98976273984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166921224704).

98976273984 is an abundant number, since it is smaller than the sum of its proper divisors (234866175424).

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

98976273984 is a wasteful number, since it uses less digits than its factorization.

98976273984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1749 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 98976273984 in words is "ninety-eight billion, nine hundred seventy-six million, two hundred seventy-three thousand, nine hundred eighty-four".