6016961452320 has 3456 divisors, whose sum is σ = 29218676078592. Its totient is φ = 1153784217600.

The previous prime is 6016961452309. The next prime is 6016961452331. The reversal of 6016961452320 is 232541696106.

6016961452320 is a `hidden beast` number, since 6 + 0 + 1 + 6 + 9 + 614 + 5 + 2 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (6016961452309) and next prime (6016961452331).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 13051976890 + ... + 13051977350.

It is an arithmetic number, because the mean of its divisors is an integer number (8454478032).

Almost surely, 2^{6016961452320} is an apocalyptic number.

6016961452320 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 6016961452320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14609338039296).

6016961452320 is an abundant number, since it is smaller than the sum of its proper divisors (23201714626272).

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

6016961452320 is a wasteful number, since it uses less digits than its factorization.

6016961452320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 6016961452320 in words is "six trillion, sixteen billion, nine hundred sixty-one million, four hundred fifty-two thousand, three hundred twenty".