98680738464 has 288 divisors, whose sum is σ = 355608489600. Its totient is φ = 25210828800.

The previous prime is 98680738427. The next prime is 98680738511. The reversal of 98680738464 is 46483708689.

98680738464 is a `hidden beast` number, since 98 + 6 + 80 + 7 + 3 + 8 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1316262 + ... + 1389210.

It is an arithmetic number, because the mean of its divisors is an integer number (1234751700).

Almost surely, 2^98680738464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98680738464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177804244800).

98680738464 is an abundant number, since it is smaller than the sum of its proper divisors (256927751136).

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

98680738464 is a wasteful number, since it uses less digits than its factorization.

98680738464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73044 (or 73033 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 98680738464 in words is "ninety-eight billion, six hundred eighty million, seven hundred thirty-eight thousand, four hundred sixty-four".