6785370730944 has 560 divisors, whose sum is σ = 22124275588800. Its totient is φ = 2043368570880.

The previous prime is 6785370730867. The next prime is 6785370730949. The reversal of 6785370730944 is 4490370735876.

6785370730944 is a `hidden beast` number, since 6 + 7 + 8 + 537 + 0 + 7 + 3 + 0 + 94 + 4 = 666.

It is a super-2 number, since 2×6785370730944² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6785370730949) 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, 1603725309 + ... + 1603729539.

It is an arithmetic number, because the mean of its divisors is an integer number (39507634980).

Almost surely, 2^{6785370730944} is an apocalyptic number.

6785370730944 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 6785370730944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11062137794400).

6785370730944 is an abundant number, since it is smaller than the sum of its proper divisors (15338904857856).

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

6785370730944 is a wasteful number, since it uses less digits than its factorization.

6785370730944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4770 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 6785370730944 in words is "six trillion, seven hundred eighty-five billion, three hundred seventy million, seven hundred thirty thousand, nine hundred forty-four".