6854342400 has 324 divisors, whose sum is σ = 24725139712. Its totient is φ = 1811496960.

The previous prime is 6854342351. The next prime is 6854342413. The reversal of 6854342400 is 42434586.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7314732 + ... + 7315668.

Almost surely, 2^6854342400 is an apocalyptic number.

6854342400 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 6854342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362569856).

6854342400 is an abundant number, since it is smaller than the sum of its proper divisors (17870797312).

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

6854342400 is a wasteful number, since it uses less digits than its factorization.

6854342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 6854342400 is about 82790.9560278174. The cubic root of 6854342400 is about 1899.5698379829.

Adding to 6854342400 its reverse (42434586), we get a palindrome (6896776986).

The spelling of 6854342400 in words is "six billion, eight hundred fifty-four million, three hundred forty-two thousand, four hundred".