16377878400 has 384 divisors, whose sum is σ = 61160668800. Its totient is φ = 3818741760.

The previous prime is 16377878393. The next prime is 16377878411. The reversal of 16377878400 is 487877361.

It is a tau number, because it is divible by the number of its divisors (384).

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, 2367747 + ... + 2374653.

It is an arithmetic number, because the mean of its divisors is an integer number (159272575).

Almost surely, 2^16377878400 is an apocalyptic number.

16377878400 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 16377878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30580334400).

16377878400 is an abundant number, since it is smaller than the sum of its proper divisors (44782790400).

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

16377878400 is a wasteful number, since it uses less digits than its factorization.

16377878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6966 (or 6949 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The spelling of 16377878400 in words is "sixteen billion, three hundred seventy-seven million, eight hundred seventy-eight thousand, four hundred".