6745140864 has 960 divisors, whose sum is σ = 27351846720. Its totient is φ = 1625702400.

The previous prime is 6745140841. The next prime is 6745140887. The reversal of 6745140864 is 4680415476.

6745140864 is a `hidden beast` number, since 6 + 74 + 514 + 0 + 8 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (6745140841) and next prime (6745140887).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 95001949 + ... + 95002019.

It is an arithmetic number, because the mean of its divisors is an integer number (28491507).

Almost surely, 2^6745140864 is an apocalyptic number.

6745140864 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 6745140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13675923360).

6745140864 is an abundant number, since it is smaller than the sum of its proper divisors (20606705856).

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

6745140864 is a wasteful number, since it uses less digits than its factorization.

6745140864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 6745140864 is about 82128.8065419193. The cubic root of 6745140864 is about 1889.4279750373.

The spelling of 6745140864 in words is "six billion, seven hundred forty-five million, one hundred forty thousand, eight hundred sixty-four".