98730656640 has 1440 divisors, whose sum is σ = 444580882200. Its totient is φ = 20167741440.

The previous prime is 98730656639. The next prime is 98730656641. The reversal of 98730656640 is 4665603789.

98730656640 is a `hidden beast` number, since 9 + 8 + 7 + 30 + 6 + 566 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (98730656639) and next prime (98730656641).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98730656641) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1673400931 + ... + 1673400989.

Almost surely, 2^98730656640 is an apocalyptic number.

98730656640 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 98730656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222290441100).

98730656640 is an abundant number, since it is smaller than the sum of its proper divisors (345850225560).

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

98730656640 is a wasteful number, since it uses less digits than its factorization.

98730656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 98730656640 in words is "ninety-eight billion, seven hundred thirty million, six hundred fifty-six thousand, six hundred forty".