16749860400 has 1800 divisors, whose sum is σ = 81712984320. Its totient is φ = 3202467840.

The previous prime is 16749860359. The next prime is 16749860437. The reversal of 16749860400 is 406894761.

16749860400 is a `hidden beast` number, since 1 + 67 + 498 + 60 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 728254789 + ... + 728254811.

Almost surely, 2^16749860400 is an apocalyptic number.

16749860400 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 16749860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40856492160).

16749860400 is an abundant number, since it is smaller than the sum of its proper divisors (64963123920).

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

16749860400 is a wasteful number, since it uses less digits than its factorization.

16749860400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16749860400 in words is "sixteen billion, seven hundred forty-nine million, eight hundred sixty thousand, four hundred".