16745306400 has 216 divisors, whose sum is σ = 61616056320. Its totient is φ = 4271224320.

The previous prime is 16745306399. The next prime is 16745306429. The reversal of 16745306400 is 460354761.

It is a happy number.

16745306400 is a `hidden beast` number, since 1 + 6 + 7 + 4 + 5 + 3 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115041 + ... + 216159.

It is an arithmetic number, because the mean of its divisors is an integer number (285259520).

Almost surely, 2^16745306400 is an apocalyptic number.

16745306400 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 16745306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30808028160).

16745306400 is an abundant number, since it is smaller than the sum of its proper divisors (44870749920).

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

16745306400 is a wasteful number, since it uses less digits than its factorization.

16745306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101168 (or 101152 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 16745306400 in words is "sixteen billion, seven hundred forty-five million, three hundred six thousand, four hundred".