6739286400 has 768 divisors, whose sum is σ = 30780172800. Its totient is φ = 1398988800.

The previous prime is 6739286303. The next prime is 6739286401. The reversal of 6739286400 is 46829376.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6739286401) 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 95 ways as a sum of consecutive naturals, for example, 6652294 + ... + 6653306.

It is an arithmetic number, because the mean of its divisors is an integer number (40078350).

Almost surely, 2^6739286400 is an apocalyptic number.

6739286400 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 6739286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15390086400).

6739286400 is an abundant number, since it is smaller than the sum of its proper divisors (24040886400).

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

6739286400 is a wasteful number, since it uses less digits than its factorization.

6739286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6739286400 is about 82093.1568402629. The cubic root of 6739286400 is about 1888.8811720305.

The spelling of 6739286400 in words is "six billion, seven hundred thirty-nine million, two hundred eighty-six thousand, four hundred".