16905470400 has 1512 divisors, whose sum is σ = 80051178480. Its totient is φ = 3344302080.

The previous prime is 16905470377. The next prime is 16905470437. The reversal of 16905470400 is 407450961.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 174283152 + ... + 174283248.

Almost surely, 2^16905470400 is an apocalyptic number.

16905470400 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 16905470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40025589240).

16905470400 is an abundant number, since it is smaller than the sum of its proper divisors (63145708080).

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

16905470400 is a wasteful number, since it uses less digits than its factorization.

16905470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 16905470400 in words is "sixteen billion, nine hundred five million, four hundred seventy thousand, four hundred".