98747631360 has 720 divisors, whose sum is σ = 406007078400. Its totient is φ = 22448627712.

The previous prime is 98747631319. The next prime is 98747631397. The reversal of 98747631360 is 6313674789.

98747631360 is a `hidden beast` number, since 9 + 87 + 476 + 31 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 98747631297 and 98747631306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 260547651 + ... + 260548029.

It is an arithmetic number, because the mean of its divisors is an integer number (563898720).

Almost surely, 2^98747631360 is an apocalyptic number.

98747631360 is a gapful number since it is divisible by the number (90) 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 98747631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203003539200).

98747631360 is an abundant number, since it is smaller than the sum of its proper divisors (307259447040).

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

98747631360 is a wasteful number, since it uses less digits than its factorization.

98747631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 98747631360 in words is "ninety-eight billion, seven hundred forty-seven million, six hundred thirty-one thousand, three hundred sixty".