16671764400 has 120 divisors (see below), whose sum is σ = 54707946384. Its totient is φ = 4337356800.

The previous prime is 16671764363. The next prime is 16671764401. The reversal of 16671764400 is 446717661.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (16671764401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120229 + ... + 218628.

Almost surely, 2^16671764400 is an apocalyptic number.

16671764400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16671764400 is an abundant number, since it is smaller than the sum of its proper divisors (38036181984).

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

16671764400 is a wasteful number, since it uses less digits than its factorization.

16671764400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338919 (or 338908 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 16671764400 in words is "sixteen billion, six hundred seventy-one million, seven hundred sixty-four thousand, four hundred".