109667296670400 has 2016 divisors, whose sum is σ = 481472425399680. Its totient is φ = 23103736381440.

The previous prime is 109667296670363. The next prime is 109667296670423. The reversal of 109667296670400 is 4076692766901.

109667296670400 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 6 + 72 + 96 + 6 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77833424896 + ... + 77833426304.

Almost surely, 2^{109667296670400} is an apocalyptic number.

109667296670400 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 109667296670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240736212699840).

109667296670400 is an abundant number, since it is smaller than the sum of its proper divisors (371805128729280).

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

109667296670400 is a wasteful number, since it uses less digits than its factorization.

109667296670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 109667296670400 in words is "one hundred nine trillion, six hundred sixty-seven billion, two hundred ninety-six million, six hundred seventy thousand, four hundred".