6122894400 has 1008 divisors, whose sum is σ = 27514905600. Its totient is φ = 1259089920.

The previous prime is 6122894363. The next prime is 6122894411. The reversal of 6122894400 is 44982216.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44049531 + ... + 44049669.

Almost surely, 2^6122894400 is an apocalyptic number.

6122894400 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 6122894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13757452800).

6122894400 is an abundant number, since it is smaller than the sum of its proper divisors (21392011200).

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

6122894400 is a wasteful number, since it uses less digits than its factorization.

6122894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6122894400 is about 78248.9258712220. The cubic root of 6122894400 is about 1829.4431701898.

The spelling of 6122894400 in words is "six billion, one hundred twenty-two million, eight hundred ninety-four thousand, four hundred".