6293742400 has 504 divisors, whose sum is σ = 18850356000. Its totient is φ = 2057932800.

The previous prime is 6293742391. The next prime is 6293742437. The reversal of 6293742400 is 42473926.

It is a super-2 number, since 2×6293742400² = 79222386795115520000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6293742400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106673571 + ... + 106673629.

It is an arithmetic number, because the mean of its divisors is an integer number (37401500).

Almost surely, 2^6293742400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6293742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9425178000).

6293742400 is an abundant number, since it is smaller than the sum of its proper divisors (12556613600).

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

6293742400 is a wasteful number, since it uses less digits than its factorization.

6293742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 6293742400 is about 79333.1103638323. The cubic root of 6293742400 is about 1846.3030529692.

The spelling of 6293742400 in words is "six billion, two hundred ninety-three million, seven hundred forty-two thousand, four hundred".