16398764928 has 720 divisors, whose sum is σ = 61794912960. Its totient is φ = 4302305280.

The previous prime is 16398764867. The next prime is 16398764953. The reversal of 16398764928 is 82946789361.

16398764928 is a `hidden beast` number, since 1 + 63 + 9 + 87 + 6 + 492 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (31352832) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 85857313 + ... + 85857503.

It is an arithmetic number, because the mean of its divisors is an integer number (85826268).

Almost surely, 2^16398764928 is an apocalyptic number.

16398764928 is a gapful number since it is divisible by the number (18) 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 16398764928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30897456480).

16398764928 is an abundant number, since it is smaller than the sum of its proper divisors (45396148032).

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

16398764928 is a wasteful number, since it uses less digits than its factorization.

16398764928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 216 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 16398764928 in words is "sixteen billion, three hundred ninety-eight million, seven hundred sixty-four thousand, nine hundred twenty-eight".