6697805349456 has 960 divisors, whose sum is σ = 23084377505280. Its totient is φ = 1790316380160.

The previous prime is 6697805349421. The next prime is 6697805349481. The reversal of 6697805349456 is 6549435087966.

6697805349456 is a `hidden beast` number, since 6 + 6 + 9 + 7 + 80 + 5 + 3 + 494 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 4167893005 + ... + 4167894611.

It is an arithmetic number, because the mean of its divisors is an integer number (24046226568).

Almost surely, 2^{6697805349456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6697805349456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11542188752640).

6697805349456 is an abundant number, since it is smaller than the sum of its proper divisors (16386572155824).

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

6697805349456 is a wasteful number, since it uses less digits than its factorization.

6697805349456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 6697805349456 in words is "six trillion, six hundred ninety-seven billion, eight hundred five million, three hundred forty-nine thousand, four hundred fifty-six".