7206645600 has 864 divisors, whose sum is σ = 33129129600. Its totient is φ = 1495065600.

The previous prime is 7206645577. The next prime is 7206645613. The reversal of 7206645600 is 65466027.

7206645600 is a `hidden beast` number, since 7 + 2 + 0 + 6 + 6 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11642091 + ... + 11642709.

It is an arithmetic number, because the mean of its divisors is an integer number (38343900).

Almost surely, 2^7206645600 is an apocalyptic number.

7206645600 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 7206645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16564564800).

7206645600 is an abundant number, since it is smaller than the sum of its proper divisors (25922484000).

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

7206645600 is a wasteful number, since it uses less digits than its factorization.

7206645600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 7206645600 is about 84891.9642840240. The cubic root of 7206645600 is about 1931.5726843222.

The spelling of 7206645600 in words is "seven billion, two hundred six million, six hundred forty-five thousand, six hundred".