98329874760 has 384 divisors, whose sum is σ = 370390980960. Its totient is φ = 22405939200.

The previous prime is 98329874749. The next prime is 98329874801. The reversal of 98329874760 is 6747892389.

98329874760 is a `hidden beast` number, since 9 + 83 + 2 + 9 + 87 + 476 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 12587493636 + 85742381124 = 112194^2 + 292818^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4843030 + ... + 4863290.

Almost surely, 2^98329874760 is an apocalyptic number.

98329874760 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 98329874760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185195490480).

98329874760 is an abundant number, since it is smaller than the sum of its proper divisors (272061106200).

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

98329874760 is a wasteful number, since it uses less digits than its factorization.

98329874760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20369 (or 20362 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 98329874760 in words is "ninety-eight billion, three hundred twenty-nine million, eight hundred seventy-four thousand, seven hundred sixty".