6740006400 has 360 divisors, whose sum is σ = 24726245544. Its totient is φ = 1752268800.

The previous prime is 6740006387. The next prime is 6740006407. The reversal of 6740006400 is 46000476.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6740006407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4722487 + ... + 4723913.

Almost surely, 2^6740006400 is an apocalyptic number.

6740006400 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 6740006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12363122772).

6740006400 is an abundant number, since it is smaller than the sum of its proper divisors (17986239144).

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

6740006400 is a wasteful number, since it uses less digits than its factorization.

6740006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6740006400 is about 82097.5419851289. The cubic root of 6740006400 is about 1888.9484366207.

Adding to 6740006400 its reverse (46000476), we get a palindrome (6786006876).

The spelling of 6740006400 in words is "six billion, seven hundred forty million, six thousand, four hundred".