6740042400 has 1008 divisors, whose sum is σ = 30602041344. Its totient is φ = 1410877440.

The previous prime is 6740042371. The next prime is 6740042431. The reversal of 6740042400 is 42400476.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 53071137 + ... + 53071263.

It is an arithmetic number, because the mean of its divisors is an integer number (30359168).

Almost surely, 2^6740042400 is an apocalyptic number.

6740042400 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 6740042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15301020672).

6740042400 is an abundant number, since it is smaller than the sum of its proper divisors (23861998944).

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

6740042400 is a wasteful number, since it uses less digits than its factorization.

6740042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 6740042400 is about 82097.7612362237. The cubic root of 6740042400 is about 1888.9517997245.

Adding to 6740042400 its reverse (42400476), we get a palindrome (6782442876).

The spelling of 6740042400 in words is "six billion, seven hundred forty million, forty-two thousand, four hundred".