16364108400 has 480 divisors, whose sum is σ = 56792793600. Its totient is φ = 4019097600.

The previous prime is 16364108399. The next prime is 16364108441. The reversal of 16364108400 is 480146361.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91419511 + ... + 91419689.

It is an arithmetic number, because the mean of its divisors is an integer number (118318320).

Almost surely, 2^16364108400 is an apocalyptic number.

16364108400 is a gapful number since it is divisible by the number (10) 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 16364108400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28396396800).

16364108400 is an abundant number, since it is smaller than the sum of its proper divisors (40428685200).

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

16364108400 is a wasteful number, since it uses less digits than its factorization.

16364108400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 16364108400 in words is "sixteen billion, three hundred sixty-four million, one hundred eight thousand, four hundred".