6729710400 has 252 divisors, whose sum is σ = 27336386272. Its totient is φ = 1538196480.

The previous prime is 6729710311. The next prime is 6729710401. The reversal of 6729710400 is 40179276.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

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 (6729710401) 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, 67419 + ... + 134181.

Almost surely, 2^6729710400 is an apocalyptic number.

6729710400 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 6729710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13668193136).

6729710400 is an abundant number, since it is smaller than the sum of its proper divisors (20606675872).

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

6729710400 is a wasteful number, since it uses less digits than its factorization.

6729710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66798 (or 66780 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 6729710400 is about 82034.8121226592. The cubic root of 6729710400 is about 1887.9860970440.

Adding to 6729710400 its reverse (40179276), we get a palindrome (6769889676).

The spelling of 6729710400 in words is "six billion, seven hundred twenty-nine million, seven hundred ten thousand, four hundred".