6010079973120 has 576 divisors, whose sum is σ = 22156264058880. Its totient is φ = 1541066342400.

The previous prime is 6010079973109. The next prime is 6010079973167. The reversal of 6010079973120 is 213799700106.

6010079973120 is a `hidden beast` number, since 601 + 0 + 0 + 7 + 9 + 9 + 7 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6010079973120² (a number of 26 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 168185655 + ... + 168221385.

Almost surely, 2^{6010079973120} is an apocalyptic number.

6010079973120 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 6010079973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11078132029440).

6010079973120 is an abundant number, since it is smaller than the sum of its proper divisors (16146184085760).

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

6010079973120 is a wasteful number, since it uses less digits than its factorization.

6010079973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35949 (or 35929 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 6010079973120 in words is "six trillion, ten billion, seventy-nine million, nine hundred seventy-three thousand, one hundred twenty".