6019967493120 has 704 divisors, whose sum is σ = 22187682570240. Its totient is φ = 1364637253632.

The previous prime is 6019967493107. The next prime is 6019967493157. The reversal of 6019967493120 is 213947699106.

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, 10151715544 + ... + 10151716136.

It is an arithmetic number, because the mean of its divisors is an integer number (31516594560).

Almost surely, 2^{6019967493120} is an apocalyptic number.

6019967493120 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 6019967493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11093841285120).

6019967493120 is an abundant number, since it is smaller than the sum of its proper divisors (16167715077120).

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

6019967493120 is a wasteful number, since it uses less digits than its factorization.

6019967493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The spelling of 6019967493120 in words is "six trillion, nineteen billion, nine hundred sixty-seven million, four hundred ninety-three thousand, one hundred twenty".