398176744680 has 640 divisors, whose sum is σ = 1614851441280. Its totient is φ = 86690580480.

The previous prime is 398176744673. The next prime is 398176744739. The reversal of 398176744680 is 86447671893.

398176744680 is a `hidden beast` number, since 3 + 98 + 17 + 6 + 74 + 468 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17131227 + ... + 17154453.

It is an arithmetic number, because the mean of its divisors is an integer number (2523205377).

Almost surely, 2^398176744680 is an apocalyptic number.

398176744680 is a gapful number since it is divisible by the number (30) 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 398176744680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807425720640).

398176744680 is an abundant number, since it is smaller than the sum of its proper divisors (1216674696600).

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

398176744680 is a wasteful number, since it uses less digits than its factorization.

398176744680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23311 (or 23298 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 398176744680 in words is "three hundred ninety-eight billion, one hundred seventy-six million, seven hundred forty-four thousand, six hundred eighty".