6734007407340 has 72 divisors (see below), whose sum is σ = 20427550442208. Its totient is φ = 1795642007040.

The previous prime is 6734007407251. The next prime is 6734007407357. The reversal of 6734007407340 is 437047004376.

6734007407340 is a `hidden beast` number, since 6 + 73 + 400 + 74 + 0 + 73 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2537209 + ... + 4461551.

It is an arithmetic number, because the mean of its divisors is an integer number (283715978364).

Almost surely, 2^{6734007407340} is an apocalyptic number.

6734007407340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6734007407340 is an abundant number, since it is smaller than the sum of its proper divisors (13693543034868).

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

6734007407340 is a wasteful number, since it uses less digits than its factorization.

6734007407340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943799 (or 1943794 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 6734007407340 in words is "six trillion, seven hundred thirty-four billion, seven million, four hundred seven thousand, three hundred forty".