398982677760 has 432 divisors, whose sum is σ = 1508813429760. Its totient is φ = 96905134080.

The previous prime is 398982677749. The next prime is 398982677789. The reversal of 398982677760 is 67776289893.

398982677760 is a `hidden beast` number, since 398 + 98 + 26 + 7 + 77 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 6038181 + ... + 6103899.

It is an arithmetic number, because the mean of its divisors is an integer number (3492623680).

Almost surely, 2^398982677760 is an apocalyptic number.

398982677760 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 398982677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754406714880).

398982677760 is an abundant number, since it is smaller than the sum of its proper divisors (1109830752000).

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

398982677760 is a wasteful number, since it uses less digits than its factorization.

398982677760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65794 (or 65777 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 398982677760 in words is "three hundred ninety-eight billion, nine hundred eighty-two million, six hundred seventy-seven thousand, seven hundred sixty".