6849437552640 has 1040 divisors, whose sum is σ = 25114721024448. Its totient is φ = 1785284001792.

The previous prime is 6849437552609. The next prime is 6849437552647. The reversal of 6849437552640 is 462557349486.

6849437552640 is a `hidden beast` number, since 6 + 8 + 4 + 9 + 4 + 37 + 552 + 6 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6849437552647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19739012947 + ... + 19739013293.

Almost surely, 2^{6849437552640} is an apocalyptic number.

6849437552640 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 6849437552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12557360512224).

6849437552640 is an abundant number, since it is smaller than the sum of its proper divisors (18265283471808).

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

6849437552640 is a wasteful number, since it uses less digits than its factorization.

6849437552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 6849437552640 in words is "six trillion, eight hundred forty-nine billion, four hundred thirty-seven million, five hundred fifty-two thousand, six hundred forty".