6723374400 has 252 divisors, whose sum is σ = 24075542400. Its totient is φ = 1779471360.

The previous prime is 6723374389. The next prime is 6723374407. The reversal of 6723374400 is 44733276.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6723374407) 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, 1999921 + ... + 2003279.

Almost surely, 2^6723374400 is an apocalyptic number.

6723374400 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 6723374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12037771200).

6723374400 is an abundant number, since it is smaller than the sum of its proper divisors (17352168000).

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

6723374400 is a wasteful number, since it uses less digits than its factorization.

6723374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3526 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 6723374400 is about 81996.1852771213. The cubic root of 6723374400 is about 1887.3934001169.

The spelling of 6723374400 in words is "six billion, seven hundred twenty-three million, three hundred seventy-four thousand, four hundred".