6034863744 has 512 divisors, whose sum is σ = 22665216000. Its totient is φ = 1537781760.

The previous prime is 6034863727. The next prime is 6034863749. The reversal of 6034863744 is 4473684306.

6034863744 is a `hidden beast` number, since 6 + 0 + 3 + 4 + 8 + 637 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6034863744.

It is not an unprimeable number, because it can be changed into a prime (6034863749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9749067 + ... + 9749685.

It is an arithmetic number, because the mean of its divisors is an integer number (44268000).

Almost surely, 2^6034863744 is an apocalyptic number.

6034863744 is a gapful number since it is divisible by the number (64) 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 6034863744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11332608000).

6034863744 is an abundant number, since it is smaller than the sum of its proper divisors (16630352256).

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

6034863744 is a wasteful number, since it uses less digits than its factorization.

6034863744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 6034863744 is about 77684.3854580829. The cubic root of 6034863744 is about 1820.6333326977.

The spelling of 6034863744 in words is "six billion, thirty-four million, eight hundred sixty-three thousand, seven hundred forty-four".