6757872012000 has 768 divisors, whose sum is σ = 24841737123840. Its totient is φ = 1784385792000.

The previous prime is 6757872011993. The next prime is 6757872012043. The reversal of 6757872012000 is 2102787576.

6757872012000 is a `hidden beast` number, since 6 + 7 + 578 + 72 + 0 + 1 + 2 + 0 + 0 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5810723419 + ... + 5810724581.

It is an arithmetic number, because the mean of its divisors is an integer number (32346011880).

Almost surely, 2^{6757872012000} is an apocalyptic number.

6757872012000 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 6757872012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12420868561920).

6757872012000 is an abundant number, since it is smaller than the sum of its proper divisors (18083865111840).

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

6757872012000 is a wasteful number, since it uses less digits than its factorization.

6757872012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

Adding to 6757872012000 its reverse (2102787576), we get a palindrome (6759974799576).

The spelling of 6757872012000 in words is "six trillion, seven hundred fifty-seven billion, eight hundred seventy-two million, twelve thousand".