98684537760 has 384 divisors, whose sum is σ = 364385952000. Its totient is φ = 24875237376.

The previous prime is 98684537729. The next prime is 98684537761. The reversal of 98684537760 is 6773548689.

98684537760 is a `hidden beast` number, since 98 + 6 + 8 + 4 + 537 + 7 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (98684537761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46702464 + ... + 46704576.

It is an arithmetic number, because the mean of its divisors is an integer number (948921750).

Almost surely, 2^98684537760 is an apocalyptic number.

98684537760 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 98684537760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182192976000).

98684537760 is an abundant number, since it is smaller than the sum of its proper divisors (265701414240).

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

98684537760 is a wasteful number, since it uses less digits than its factorization.

98684537760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 98684537760 in words is "ninety-eight billion, six hundred eighty-four million, five hundred thirty-seven thousand, seven hundred sixty".