1666769270400 has 2688 divisors, whose sum is σ = 7289672649840. Its totient is φ = 372650803200.

The previous prime is 1666769270393. The next prime is 1666769270401. The reversal of 1666769270400 is 40729676661.

It can be written as a sum of positive squares in 24 ways, for example, as 226020373056 + 1440748897344 = 475416^2 + 1200312^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1666769270401) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 27324086370 + ... + 27324086430.

Almost surely, 2^{1666769270400} is an apocalyptic number.

1666769270400 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 1666769270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644836324920).

1666769270400 is an abundant number, since it is smaller than the sum of its proper divisors (5622903379440).

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

1666769270400 is a wasteful number, since it uses less digits than its factorization.

1666769270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 1666769270400 in words is "one trillion, six hundred sixty-six billion, seven hundred sixty-nine million, two hundred seventy thousand, four hundred".