6016900795200 has 672 divisors, whose sum is σ = 23114470936320. Its totient is φ = 1519524864000.

The previous prime is 6016900795163. The next prime is 6016900795219. The reversal of 6016900795200 is 25970096106.

It is a happy number.

6016900795200 is a `hidden beast` number, since 60 + 1 + 69 + 0 + 0 + 7 + 9 + 520 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100323622 + ... + 100383578.

Almost surely, 2^{6016900795200} is an apocalyptic number.

6016900795200 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 6016900795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557235468160).

6016900795200 is an abundant number, since it is smaller than the sum of its proper divisors (17097570141120).

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

6016900795200 is a wasteful number, since it uses less digits than its factorization.

6016900795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60112 (or 60091 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

It can be divided in two parts, 6016900 and 795200, that added together give a square (6812100 = 2610²).

The spelling of 6016900795200 in words is "six trillion, sixteen billion, nine hundred million, seven hundred ninety-five thousand, two hundred".