6742400000 has 396 divisors, whose sum is σ = 20052919656. Its totient is φ = 2257920000.

The previous prime is 6742399991. The next prime is 6742400003. The reversal of 6742400000 is 42476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6742400003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156799979 + ... + 156800021.

It is an arithmetic number, because the mean of its divisors is an integer number (50638686).

Almost surely, 2^6742400000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6742400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10026459828).

6742400000 is an abundant number, since it is smaller than the sum of its proper divisors (13310519656).

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

6742400000 is an frugal number, since it uses more digits than its factorization.

6742400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 6742400000 is about 82112.1184722450. The cubic root of 6742400000 is about 1889.1720195861.

Adding to 6742400000 its reverse (42476), we get a palindrome (6742442476).

The spelling of 6742400000 in words is "six billion, seven hundred forty-two million, four hundred thousand".