6379821900 has 144 divisors (see below), whose sum is σ = 21589590400. Its totient is φ = 1611731520.

The previous prime is 6379821869. The next prime is 6379821989. The reversal of 6379821900 is 91289736.

6379821900 is a `hidden beast` number, since 637 + 9 + 8 + 2 + 1 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×6379821900² = 81404254951439220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10882 + ... + 113481.

Almost surely, 2^6379821900 is an apocalyptic number.

6379821900 is a gapful number since it is divisible by the number (60) 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 6379821900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10794795200).

6379821900 is an abundant number, since it is smaller than the sum of its proper divisors (15209768500).

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

6379821900 is a wasteful number, since it uses less digits than its factorization.

6379821900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124405 (or 124392 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 6379821900 is about 79873.7873147380. The cubic root of 6379821900 is about 1854.6822616520.

The spelling of 6379821900 in words is "six billion, three hundred seventy-nine million, eight hundred twenty-one thousand, nine hundred".