6849509606784 has 512 divisors, whose sum is σ = 22311291340800. Its totient is φ = 2055352320000.

The previous prime is 6849509606767. The next prime is 6849509606813. The reversal of 6849509606784 is 4876069059486.

6849509606784 is a `hidden beast` number, since 6 + 8 + 4 + 9 + 5 + 0 + 9 + 606 + 7 + 8 + 4 = 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 63 ways as a sum of consecutive naturals, for example, 1450857544 + ... + 1450862264.

It is an arithmetic number, because the mean of its divisors is an integer number (43576740900).

Almost surely, 2^{6849509606784} is an apocalyptic number.

6849509606784 is a gapful number since it is divisible by the number (64) 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 6849509606784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11155645670400).

6849509606784 is an abundant number, since it is smaller than the sum of its proper divisors (15461781734016).

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

6849509606784 is a wasteful number, since it uses less digits than its factorization.

6849509606784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5551 (or 5533 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 6849509606784 in words is "six trillion, eight hundred forty-nine billion, five hundred nine million, six hundred six thousand, seven hundred eighty-four".