6293894400 has 756 divisors, whose sum is σ = 24932466720. Its totient is φ = 1567641600.

The previous prime is 6293894351. The next prime is 6293894429. The reversal of 6293894400 is 44983926.

It is a super-2 number, since 2×6293894400² = 79226213436702720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 88646365 + ... + 88646435.

Almost surely, 2^6293894400 is an apocalyptic number.

6293894400 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 6293894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12466233360).

6293894400 is an abundant number, since it is smaller than the sum of its proper divisors (18638572320).

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

6293894400 is an equidigital number, since it uses as much as digits as its factorization.

6293894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6293894400 is about 79334.0683439341. The cubic root of 6293894400 is about 1846.3179161877.

The spelling of 6293894400 in words is "six billion, two hundred ninety-three million, eight hundred ninety-four thousand, four hundred".