6740562334464 has 756 divisors, whose sum is σ = 24333792618576. Its totient is φ = 1824385462272.

The previous prime is 6740562334417. The next prime is 6740562334481. The reversal of 6740562334464 is 4644332650476.

6740562334464 is a `hidden beast` number, since 6 + 7 + 4 + 0 + 5 + 623 + 3 + 4 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6740562334464.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 471591702 + ... + 471605994.

Almost surely, 2^{6740562334464} is an apocalyptic number.

6740562334464 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 6740562334464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12166896309288).

6740562334464 is an abundant number, since it is smaller than the sum of its proper divisors (17593230284112).

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

6740562334464 is an equidigital number, since it uses as much as digits as its factorization.

6740562334464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14372 (or 14324 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 54.

The spelling of 6740562334464 in words is "six trillion, seven hundred forty billion, five hundred sixty-two million, three hundred thirty-four thousand, four hundred sixty-four".