6000167777940 has 384 divisors, whose sum is σ = 21614917632000. Its totient is φ = 1353421135872.

The previous prime is 6000167777921. The next prime is 6000167777941. The reversal of 6000167777940 is 497777610006.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6000167777941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 801193716 + ... + 801201204.

It is an arithmetic number, because the mean of its divisors is an integer number (56288848000).

Almost surely, 2^{6000167777940} is an apocalyptic number.

6000167777940 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 6000167777940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10807458816000).

6000167777940 is an abundant number, since it is smaller than the sum of its proper divisors (15614749854060).

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

6000167777940 is a wasteful number, since it uses less digits than its factorization.

6000167777940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10276 (or 10268 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 6000167777940 in words is "six trillion, one hundred sixty-seven million, seven hundred seventy-seven thousand, nine hundred forty".