16766366400 has 504 divisors, whose sum is σ = 69573404160. Its totient is φ = 3749713920.

The previous prime is 16766366387. The next prime is 16766366429. The reversal of 16766366400 is 466366761.

16766366400 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 636 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×16766366400² (a number of 21 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 4735831 + ... + 4739369.

Almost surely, 2^16766366400 is an apocalyptic number.

16766366400 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 16766366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34786702080).

16766366400 is an abundant number, since it is smaller than the sum of its proper divisors (52807037760).

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

16766366400 is a wasteful number, since it uses less digits than its factorization.

16766366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3621 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 16766366400 in words is "sixteen billion, seven hundred sixty-six million, three hundred sixty-six thousand, four hundred".