6774791040 has 384 divisors, whose sum is σ = 25362136800. Its totient is φ = 1659764736.

The previous prime is 6774791011. The next prime is 6774791041. The reversal of 6774791040 is 401974776.

6774791040 is a `hidden beast` number, since 6 + 77 + 479 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6774791041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4209756 + ... + 4211364.

Almost surely, 2^6774791040 is an apocalyptic number.

6774791040 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 6774791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12681068400).

6774791040 is an abundant number, since it is smaller than the sum of its proper divisors (18587345760).

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

6774791040 is a wasteful number, since it uses less digits than its factorization.

6774791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 6774791040 is about 82309.1188143817. The cubic root of 6774791040 is about 1892.1924334991.

The spelling of 6774791040 in words is "six billion, seven hundred seventy-four million, seven hundred ninety-one thousand, forty".