6786739150080 has 576 divisors, whose sum is σ = 22348437995520. Its totient is φ = 1754586021888.

The previous prime is 6786739150007. The next prime is 6786739150091. The reversal of 6786739150080 is 800519376876.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6786739149996 and 6786739150023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7864123729 + ... + 7864124591.

It is an arithmetic number, because the mean of its divisors is an integer number (38799371520).

Almost surely, 2^{6786739150080} is an apocalyptic number.

6786739150080 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 6786739150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11174218997760).

6786739150080 is an abundant number, since it is smaller than the sum of its proper divisors (15561698845440).

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

6786739150080 is a wasteful number, since it uses less digits than its factorization.

6786739150080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 6786739150080 in words is "six trillion, seven hundred eighty-six billion, seven hundred thirty-nine million, one hundred fifty thousand, eighty".