16827642000 has 320 divisors, whose sum is σ = 64920011520. Its totient is φ = 4142016000.

The previous prime is 16827641983. The next prime is 16827642001. The reversal of 16827642000 is 24672861.

16827642000 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 7 + 642 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16827642001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 690015 + ... + 713985.

It is an arithmetic number, because the mean of its divisors is an integer number (202875036).

Almost surely, 2^16827642000 is an apocalyptic number.

16827642000 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 16827642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32460005760).

16827642000 is an abundant number, since it is smaller than the sum of its proper divisors (48092369520).

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

16827642000 is a wasteful number, since it uses less digits than its factorization.

16827642000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24016 (or 23994 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

It can be divided in two parts, 168276 and 42000, that added together give a triangular number (210276 = T₆₄₈).

The spelling of 16827642000 in words is "sixteen billion, eight hundred twenty-seven million, six hundred forty-two thousand".