98724252672 has 396 divisors, whose sum is σ = 300607648848. Its totient is φ = 31198003200.

The previous prime is 98724252637. The next prime is 98724252707. The reversal of 98724252672 is 27625242789.

98724252672 is a `hidden beast` number, since 9 + 8 + 7 + 2 + 42 + 526 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (98724252637) and next prime (98724252707).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 628816818 + ... + 628816974.

Almost surely, 2^98724252672 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 98724252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150303824424).

98724252672 is an abundant number, since it is smaller than the sum of its proper divisors (201883396176).

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

98724252672 is a wasteful number, since it uses less digits than its factorization.

98724252672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 264 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 98724252672 in words is "ninety-eight billion, seven hundred twenty-four million, two hundred fifty-two thousand, six hundred seventy-two".