6786190494720 has 2112 divisors, whose sum is σ = 31982658140160. Its totient is φ = 1288685223936.

The previous prime is 6786190494719. The next prime is 6786190494731. The reversal of 6786190494720 is 274940916876.

6786190494720 is a `hidden beast` number, since 6 + 7 + 8 + 619 + 0 + 4 + 9 + 4 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1639570411 + ... + 1639574549.

Almost surely, 2^{6786190494720} is an apocalyptic number.

6786190494720 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 6786190494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991329070080).

6786190494720 is an abundant number, since it is smaller than the sum of its proper divisors (25196467645440).

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

6786190494720 is a wasteful number, since it uses less digits than its factorization.

6786190494720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4230 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 6786190494720 in words is "six trillion, seven hundred eighty-six billion, one hundred ninety million, four hundred ninety-four thousand, seven hundred twenty".