6045343930080 has 3456 divisors, whose sum is σ = 29250298022400. Its totient is φ = 1164067946496.

The previous prime is 6045343930079. The next prime is 6045343930103. The reversal of 6045343930080 is 800393435406.

6045343930080 is a `hidden beast` number, since 6 + 0 + 4 + 534 + 3 + 9 + 30 + 0 + 80 = 666.

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 575 ways as a sum of consecutive naturals, for example, 13646374339 + ... + 13646374781.

It is an arithmetic number, because the mean of its divisors is an integer number (8463627900).

Almost surely, 2^{6045343930080} is an apocalyptic number.

6045343930080 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 6045343930080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14625149011200).

6045343930080 is an abundant number, since it is smaller than the sum of its proper divisors (23204954092320).

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

6045343930080 is a wasteful number, since it uses less digits than its factorization.

6045343930080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 6045343930080 in words is "six trillion, forty-five billion, three hundred forty-three million, nine hundred thirty thousand, eighty".