6738498400 has 72 divisors (see below), whose sum is σ = 16476539184. Its totient is φ = 2691110400.

The previous prime is 6738498397. The next prime is 6738498433. The reversal of 6738498400 is 48948376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 522429 + ... + 535171.

It is an arithmetic number, because the mean of its divisors is an integer number (228840822).

Almost surely, 2^6738498400 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 6738498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8238269592).

6738498400 is an abundant number, since it is smaller than the sum of its proper divisors (9738040784).

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

6738498400 is a wasteful number, since it uses less digits than its factorization.

6738498400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13424 (or 13411 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The square root of 6738498400 is about 82088.3572743419. The cubic root of 6738498400 is about 1888.8075491822.

The spelling of 6738498400 in words is "six billion, seven hundred thirty-eight million, four hundred ninety-eight thousand, four hundred".