98642945790 has 192 divisors, whose sum is σ = 272290636800. Its totient is φ = 24724846080.

The previous prime is 98642945783. The next prime is 98642945803. The reversal of 98642945790 is 9754924689.

98642945790 = T₁ + T₂ + ... + T₈₃₉₅.

98642945790 is a `hidden beast` number, since 9 + 86 + 429 + 45 + 7 + 90 = 666.

98642945790 is a nontrivial binomial coefficient, being equal to C(8397, 3).

It is a congruent number.

It is an unprimeable number.

It is the 8395-th tetrahedral number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46994161 + ... + 46996259.

It is an arithmetic number, because the mean of its divisors is an integer number (1418180400).

Almost surely, 2^98642945790 is an apocalyptic number.

98642945790 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 98642945790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136145318400).

98642945790 is an abundant number, since it is smaller than the sum of its proper divisors (173647691010).

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

98642945790 is a wasteful number, since it uses less digits than its factorization.

98642945790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 98642945790 in words is "ninety-eight billion, six hundred forty-two million, nine hundred forty-five thousand, seven hundred ninety".