6827638400 has 192 divisors, whose sum is σ = 18996284160. Its totient is φ = 2402304000.

The previous prime is 6827638393. The next prime is 6827638409. The reversal of 6827638400 is 48367286.

It is a super-2 number, since 2×6827638400² = 93233292242309120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (6827638409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1088072 + ... + 1094328.

It is an arithmetic number, because the mean of its divisors is an integer number (98938980).

Almost surely, 2^6827638400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6827638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9498142080).

6827638400 is an abundant number, since it is smaller than the sum of its proper divisors (12168645760).

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

6827638400 is a wasteful number, since it uses less digits than its factorization.

6827638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6323 (or 6306 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 6827638400 is about 82629.5249895581. The cubic root of 6827638400 is about 1897.0997672854.

The spelling of 6827638400 in words is "six billion, eight hundred twenty-seven million, six hundred thirty-eight thousand, four hundred".