726633600 has 384 divisors, whose sum is σ = 2986951680. Its totient is φ = 150835200.

The previous prime is 726633553. The next prime is 726633629. The reversal of 726633600 is 6336627.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 738709 + ... + 739691.

It is an arithmetic number, because the mean of its divisors is an integer number (7778520).

Almost surely, 2^726633600 is an apocalyptic number.

726633600 is a gapful number since it is divisible by the number (70) 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 726633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493475840).

726633600 is an abundant number, since it is smaller than the sum of its proper divisors (2260318080).

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

726633600 is a wasteful number, since it uses less digits than its factorization.

726633600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 726633600 is about 26956.1421572153. The cubic root of 726633600 is about 899.0251172248.

The spelling of 726633600 in words is "seven hundred twenty-six million, six hundred thirty-three thousand, six hundred".