6036794400 has 576 divisors, whose sum is σ = 24484432896. Its totient is φ = 1257984000.

The previous prime is 6036794353. The next prime is 6036794417. The reversal of 6036794400 is 44976306.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28610295 + ... + 28610505.

It is an arithmetic number, because the mean of its divisors is an integer number (42507696).

Almost surely, 2^6036794400 is an apocalyptic number.

6036794400 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 6036794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12242216448).

6036794400 is an abundant number, since it is smaller than the sum of its proper divisors (18447638496).

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

6036794400 is a wasteful number, since it uses less digits than its factorization.

6036794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 6036794400 is about 77696.8107453581. The cubic root of 6036794400 is about 1820.8274625652.

The spelling of 6036794400 in words is "six billion, thirty-six million, seven hundred ninety-four thousand, four hundred".