6016698040320 has 1920 divisors, whose sum is σ = 24514790952960. Its totient is φ = 1404606873600.

The previous prime is 6016698040319. The next prime is 6016698040321. The reversal of 6016698040320 is 230408966106.

6016698040320 is a `hidden beast` number, since 6 + 0 + 166 + 9 + 80 + 403 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6016698040319) and next prime (6016698040321).

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is not an unprimeable number, because it can be changed into a prime (6016698040321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84742225885 + ... + 84742225955.

It is an arithmetic number, because the mean of its divisors is an integer number (12768120288).

Almost surely, 2^{6016698040320} is an apocalyptic number.

6016698040320 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 6016698040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257395476480).

6016698040320 is an abundant number, since it is smaller than the sum of its proper divisors (18498092912640).

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

6016698040320 is an frugal number, since it uses more digits than its factorization.

6016698040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 6016698040320 in words is "six trillion, sixteen billion, six hundred ninety-eight million, forty thousand, three hundred twenty".