398929764096 has 216 divisors, whose sum is σ = 1244679246720. Its totient is φ = 127194541056.

The previous prime is 398929764091. The next prime is 398929764133. The reversal of 398929764096 is 690467929893.

398929764096 is a `hidden beast` number, since 398 + 9 + 2 + 97 + 64 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398929764091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1291375 + ... + 1570193.

It is an arithmetic number, because the mean of its divisors is an integer number (5762403920).

Almost surely, 2^398929764096 is an apocalyptic number.

398929764096 is a gapful number since it is divisible by the number (36) 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 398929764096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622339623360).

398929764096 is an abundant number, since it is smaller than the sum of its proper divisors (845749482624).

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

398929764096 is an equidigital number, since it uses as much as digits as its factorization.

398929764096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278873 (or 278847 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 398929764096 in words is "three hundred ninety-eight billion, nine hundred twenty-nine million, seven hundred sixty-four thousand, ninety-six".