6007376752064 has 112 divisors (see below), whose sum is σ = 12525270368256. Its totient is φ = 2853261312000.

The previous prime is 6007376752057. The next prime is 6007376752079. The reversal of 6007376752064 is 4602576737006.

It is a junction number, because it is equal to n+sod(n) for n = 6007376751997 and 6007376752015.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 170641664 + ... + 170676864.

Almost surely, 2^{6007376752064} is an apocalyptic number.

6007376752064 is a gapful number since it is divisible by the number (64) 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 6007376752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6262635184128).

6007376752064 is an abundant number, since it is smaller than the sum of its proper divisors (6517893616192).

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

6007376752064 is a wasteful number, since it uses less digits than its factorization.

6007376752064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36034 (or 36024 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 53.

The spelling of 6007376752064 in words is "six trillion, seven billion, three hundred seventy-six million, seven hundred fifty-two thousand, sixty-four".