6020678400 has 432 divisors, whose sum is σ = 22446063360. Its totient is φ = 1407795200.

The previous prime is 6020678399. The next prime is 6020678413. The reversal of 6020678400 is 48760206.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6124309 + ... + 6125291.

It is an arithmetic number, because the mean of its divisors is an integer number (51958480).

Almost surely, 2^6020678400 is an apocalyptic number.

6020678400 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 6020678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11223031680).

6020678400 is an abundant number, since it is smaller than the sum of its proper divisors (16425384960).

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

6020678400 is a wasteful number, since it uses less digits than its factorization.

6020678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 6020678400 is about 77593.0306148690. The cubic root of 6020678400 is about 1819.2057074209.

The spelling of 6020678400 in words is "six billion, twenty million, six hundred seventy-eight thousand, four hundred".