6723993600 has 480 divisors, whose sum is σ = 26004660000. Its totient is φ = 1698693120.

The previous prime is 6723993599. The next prime is 6723993607. The reversal of 6723993600 is 63993276.

6723993600 is a `hidden beast` number, since 6 + 7 + 2 + 39 + 9 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (6723993607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353894391 + ... + 353894409.

It is an arithmetic number, because the mean of its divisors is an integer number (54176375).

Almost surely, 2^6723993600 is an apocalyptic number.

6723993600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6723993600 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6723993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13002330000).

6723993600 is an abundant number, since it is smaller than the sum of its proper divisors (19280666400).

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

6723993600 is an frugal number, since it uses more digits than its factorization.

6723993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 6723993600 is about 81999.9609756005. The cubic root of 6723993600 is about 1887.4513391838.

The spelling of 6723993600 in words is "six billion, seven hundred twenty-three million, nine hundred ninety-three thousand, six hundred".