6726369600 has 840 divisors, whose sum is σ = 27164922048. Its totient is φ = 1625702400.

The previous prime is 6726369599. The next prime is 6726369641. The reversal of 6726369600 is 69636276.

6726369600 is a `hidden beast` number, since 6 + 7 + 2 + 6 + 36 + 9 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 94737565 + ... + 94737635.

Almost surely, 2^6726369600 is an apocalyptic number.

6726369600 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 6726369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13582461024).

6726369600 is an abundant number, since it is smaller than the sum of its proper divisors (20438552448).

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

6726369600 is a wasteful number, since it uses less digits than its factorization.

6726369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 6726369600 is about 82014.4475077410. The cubic root of 6726369600 is about 1887.6736305048.

The spelling of 6726369600 in words is "six billion, seven hundred twenty-six million, three hundred sixty-nine thousand, six hundred".