6740097512400 has 1680 divisors, whose sum is σ = 29637660687360. Its totient is φ = 1439094988800.

The previous prime is 6740097512399. The next prime is 6740097512461. The reversal of 6740097512400 is 42157900476.

6740097512400 is a `hidden beast` number, since 6 + 7 + 4 + 0 + 0 + 97 + 512 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

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 335 ways as a sum of consecutive naturals, for example, 1835036964 + ... + 1835040636.

Almost surely, 2^{6740097512400} is an apocalyptic number.

6740097512400 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 6740097512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14818830343680).

6740097512400 is an abundant number, since it is smaller than the sum of its proper divisors (22897563174960).

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

6740097512400 is a wasteful number, since it uses less digits than its factorization.

6740097512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 6740097512400 in words is "six trillion, seven hundred forty billion, ninety-seven million, five hundred twelve thousand, four hundred".