6000232775040 has 640 divisors, whose sum is σ = 25929604008000. Its totient is φ = 1290805051392.

The previous prime is 6000232774993. The next prime is 6000232775051. The reversal of 6000232775040 is 405772320006.

It is a happy number.

6000232775040 is a `hidden beast` number, since 60 + 0 + 0 + 23 + 2 + 77 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6000232774986 and 6000232775004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5682636 + ... + 6655284.

Almost surely, 2^{6000232775040} is an apocalyptic number.

6000232775040 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 6000232775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12964802004000).

6000232775040 is an abundant number, since it is smaller than the sum of its proper divisors (19929371232960).

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

6000232775040 is a wasteful number, since it uses less digits than its factorization.

6000232775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972704 (or 972683 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 6000232775040 in words is "six trillion, two hundred thirty-two million, seven hundred seventy-five thousand, forty".