6034295242560 has 1792 divisors, whose sum is σ = 23636022165504. Its totient is φ = 1288910143488.

The previous prime is 6034295242559. The next prime is 6034295242567. The reversal of 6034295242560 is 652425924306.

It is a super-4 number, since 4×6034295242560⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6034295242567) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19035631522 + ... + 19035631838.

It is an arithmetic number, because the mean of its divisors is an integer number (13189744512).

Almost surely, 2^{6034295242560} is an apocalyptic number.

6034295242560 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 6034295242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11818011082752).

6034295242560 is an abundant number, since it is smaller than the sum of its proper divisors (17601726922944).

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

6034295242560 is a wasteful number, since it uses less digits than its factorization.

6034295242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 6034295242560 in words is "six trillion, thirty-four billion, two hundred ninety-five million, two hundred forty-two thousand, five hundred sixty".