7236820800 has 672 divisors, whose sum is σ = 29261043840. Its totient is φ = 1725235200.

The previous prime is 7236820781. The next prime is 7236820847. The reversal of 7236820800 is 80286327.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 46094322 + ... + 46094478.

It is an arithmetic number, because the mean of its divisors is an integer number (43543220).

Almost surely, 2^7236820800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7236820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14630521920).

7236820800 is an abundant number, since it is smaller than the sum of its proper divisors (22024223040).

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

7236820800 is a wasteful number, since it uses less digits than its factorization.

7236820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7236820800 is about 85069.5056997512. The cubic root of 7236820800 is about 1934.2648490322.

The spelling of 7236820800 in words is "seven billion, two hundred thirty-six million, eight hundred twenty thousand, eight hundred".