1868682396672 has 2112 divisors, whose sum is σ = 7518391910400. Its totient is φ = 447180963840.

The previous prime is 1868682396661. The next prime is 1868682396673. The reversal of 1868682396672 is 2766932868681.

1868682396672 is a `hidden beast` number, since 1 + 86 + 86 + 82 + 396 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1868682396672.

It is not an unprimeable number, because it can be changed into a prime (1868682396673) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19264766928 + ... + 19264767024.

Almost surely, 2^{1868682396672} is an apocalyptic number.

1868682396672 is a gapful number since it is divisible by the number (12) 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 1868682396672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759195955200).

1868682396672 is an abundant number, since it is smaller than the sum of its proper divisors (5649709513728).

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

1868682396672 is a wasteful number, since it uses less digits than its factorization.

1868682396672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 172 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 1868682396672 in words is "one trillion, eight hundred sixty-eight billion, six hundred eighty-two million, three hundred ninety-six thousand, six hundred seventy-two".