16774196400 has 540 divisors, whose sum is σ = 64014132000. Its totient is φ = 4065085440.

The previous prime is 16774196393. The next prime is 16774196407. The reversal of 16774196400 is 469147761.

16774196400 is a `hidden beast` number, since 167 + 74 + 19 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (16774196393) and next prime (16774196407).

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

It is not an unprimeable number, because it can be changed into a prime (16774196407) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 48063426 + ... + 48063774.

Almost surely, 2^16774196400 is an apocalyptic number.

16774196400 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 16774196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32007066000).

16774196400 is an abundant number, since it is smaller than the sum of its proper divisors (47239935600).

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

16774196400 is a wasteful number, since it uses less digits than its factorization.

16774196400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 16774196400 in words is "sixteen billion, seven hundred seventy-four million, one hundred ninety-six thousand, four hundred".