6014730304464 has 320 divisors, whose sum is σ = 18312927897600. Its totient is φ = 1665865580544.

The previous prime is 6014730304411. The next prime is 6014730304477. The reversal of 6014730304464 is 4644030374106.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310363927 + ... + 310383305.

It is an arithmetic number, because the mean of its divisors is an integer number (57227899680).

Almost surely, 2^{6014730304464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6014730304464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9156463948800).

6014730304464 is an abundant number, since it is smaller than the sum of its proper divisors (12298197593136).

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

6014730304464 is a wasteful number, since it uses less digits than its factorization.

6014730304464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19690 (or 19684 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 6014730304464 in words is "six trillion, fourteen billion, seven hundred thirty million, three hundred four thousand, four hundred sixty-four".