16667666400 has 1152 divisors, whose sum is σ = 73435299840. Its totient is φ = 3179520000.

The previous prime is 16667666399. The next prime is 16667666467. The reversal of 16667666400 is 466676661.

It is a super-2 number, since 2×16667666400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16667666400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 165026350 + ... + 165026450.

It is an arithmetic number, because the mean of its divisors is an integer number (63745920).

Almost surely, 2^16667666400 is an apocalyptic number.

16667666400 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 16667666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36717649920).

16667666400 is an abundant number, since it is smaller than the sum of its proper divisors (56767633440).

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

16667666400 is a wasteful number, since it uses less digits than its factorization.

16667666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 16667666400 in words is "sixteen billion, six hundred sixty-seven million, six hundred sixty-six thousand, four hundred".