21676837000 has 128 divisors (see below), whose sum is σ = 62429552640. Its totient is φ = 6860332800.

The previous prime is 21676836977. The next prime is 21676837009. The reversal of 21676837000 is 73867612.

It is a hoax number, since the sum of its digits (40) 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 (40).

It is not an unprimeable number, because it can be changed into a prime (21676837009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28104 + ... + 210103.

It is an arithmetic number, because the mean of its divisors is an integer number (487730880).

Almost surely, 2^21676837000 is an apocalyptic number.

21676837000 is a gapful number since it is divisible by the number (20) 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 21676837000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31214776320).

21676837000 is an abundant number, since it is smaller than the sum of its proper divisors (40752715640).

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

21676837000 is a wasteful number, since it uses less digits than its factorization.

21676837000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238248 (or 238234 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 21676837000 in words is "twenty-one billion, six hundred seventy-six million, eight hundred thirty-seven thousand".