398696981760 has 2016 divisors, whose sum is σ = 1853045268480. Its totient is φ = 79725772800.

The previous prime is 398696981747. The next prime is 398696981797. The reversal of 398696981760 is 67189696893.

398696981760 is a `hidden beast` number, since 398 + 6 + 9 + 69 + 8 + 176 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 223 ways as a sum of consecutive naturals, for example, 2227357351 + ... + 2227357529.

It is an arithmetic number, because the mean of its divisors is an integer number (919169280).

Almost surely, 2^398696981760 is an apocalyptic number.

398696981760 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 398696981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926522634240).

398696981760 is an abundant number, since it is smaller than the sum of its proper divisors (1454348286720).

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

398696981760 is a wasteful number, since it uses less digits than its factorization.

398696981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 398696981760 in words is "three hundred ninety-eight billion, six hundred ninety-six million, nine hundred eighty-one thousand, seven hundred sixty".