6740734002300 has 324 divisors, whose sum is σ = 21970010219976. Its totient is φ = 1795068604800.

The previous prime is 6740734002293. The next prime is 6740734002311. The reversal of 6740734002300 is 32004370476.

It is a happy number.

6740734002300 is a `hidden beast` number, since 6 + 7 + 4 + 0 + 7 + 340 + 0 + 2 + 300 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 507158655 + ... + 507171945.

Almost surely, 2^{6740734002300} is an apocalyptic number.

6740734002300 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 6740734002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10985005109988).

6740734002300 is an abundant number, since it is smaller than the sum of its proper divisors (15229276217676).

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

6740734002300 is a wasteful number, since it uses less digits than its factorization.

6740734002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14102 (or 14074 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

Adding to 6740734002300 its reverse (32004370476), we get a palindrome (6772738372776).

The spelling of 6740734002300 in words is "six trillion, seven hundred forty billion, seven hundred thirty-four million, two thousand, three hundred".