6021399346560 has 1536 divisors, whose sum is σ = 23539983667200. Its totient is φ = 1408620036096.

The previous prime is 6021399346541. The next prime is 6021399346591. The reversal of 6021399346560 is 656439931206.

6021399346560 is a `hidden beast` number, since 6 + 0 + 2 + 1 + 39 + 9 + 3 + 46 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6021399346497 and 6021399346506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38352862002 + ... + 38352862158.

It is an arithmetic number, because the mean of its divisors is an integer number (15325510200).

Almost surely, 2^{6021399346560} is an apocalyptic number.

6021399346560 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 6021399346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11769991833600).

6021399346560 is an abundant number, since it is smaller than the sum of its proper divisors (17518584320640).

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

6021399346560 is a wasteful number, since it uses less digits than its factorization.

6021399346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 6021399346560 in words is "six trillion, twenty-one billion, three hundred ninety-nine million, three hundred forty-six thousand, five hundred sixty".