6002942400 has 840 divisors, whose sum is σ = 27210654240. Its totient is φ = 1264066560.

The previous prime is 6002942359. The next prime is 6002942411. The reversal of 6002942400 is 42492006.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11793346 + ... + 11793854.

It is an arithmetic number, because the mean of its divisors is an integer number (32393636).

Almost surely, 2^6002942400 is an apocalyptic number.

6002942400 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 6002942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13605327120).

6002942400 is an abundant number, since it is smaller than the sum of its proper divisors (21207711840).

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

6002942400 is a wasteful number, since it uses less digits than its factorization.

6002942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6002942400 is about 77478.6577064936. The cubic root of 6002942400 is about 1817.4175829357.

The spelling of 6002942400 in words is "six billion, two million, nine hundred forty-two thousand, four hundred".