6786913536000 has 1920 divisors, whose sum is σ = 28867728970080. Its totient is φ = 1571291136000.

The previous prime is 6786913535999. The next prime is 6786913536043. The reversal of 6786913536000 is 6353196876.

It can be written as a sum of positive squares in 16 ways, for example, as 579401081856 + 6207512454144 = 761184^2 + 2491488^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4582655260 + ... + 4582656740.

Almost surely, 2^{6786913536000} is an apocalyptic number.

6786913536000 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 6786913536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14433864485040).

6786913536000 is an abundant number, since it is smaller than the sum of its proper divisors (22080815434080).

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

6786913536000 is a wasteful number, since it uses less digits than its factorization.

6786913536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 6786913536000 in words is "six trillion, seven hundred eighty-six billion, nine hundred thirteen million, five hundred thirty-six thousand".