6243494400 has 720 divisors, whose sum is σ = 26319252960. Its totient is φ = 1393459200.

The previous prime is 6243494359. The next prime is 6243494423. The reversal of 6243494400 is 44943426.

6243494400 is a `hidden beast` number, since 6 + 243 + 4 + 9 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 16473411 + ... + 16473789.

It is an arithmetic number, because the mean of its divisors is an integer number (36554518).

Almost surely, 2^6243494400 is an apocalyptic number.

6243494400 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 6243494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13159626480).

6243494400 is an abundant number, since it is smaller than the sum of its proper divisors (20075758560).

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

6243494400 is a wasteful number, since it uses less digits than its factorization.

6243494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6243494400 is about 79015.7857646179. The cubic root of 6243494400 is about 1841.3764118324.

The spelling of 6243494400 in words is "six billion, two hundred forty-three million, four hundred ninety-four thousand, four hundred".