6022513062720 has 1120 divisors, whose sum is σ = 26828038068480. Its totient is φ = 1245871964160.

The previous prime is 6022513062673. The next prime is 6022513062733. The reversal of 6022513062720 is 272603152206.

6022513062720 is a `hidden beast` number, since 6 + 0 + 2 + 2 + 5 + 1 + 3 + 0 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 457040772 + ... + 457053948.

Almost surely, 2^{6022513062720} is an apocalyptic number.

6022513062720 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 6022513062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13414019034240).

6022513062720 is an abundant number, since it is smaller than the sum of its proper divisors (20805525005760).

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

6022513062720 is a wasteful number, since it uses less digits than its factorization.

6022513062720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13453 (or 13434 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 6022513062720 in words is "six trillion, twenty-two billion, five hundred thirteen million, sixty-two thousand, seven hundred twenty".