7211640800 has 576 divisors, whose sum is σ = 23308508160. Its totient is φ = 2116730880.

The previous prime is 7211640797. The next prime is 7211640809. The reversal of 7211640800 is 80461127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7211640809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98789564 + ... + 98789636.

It is an arithmetic number, because the mean of its divisors is an integer number (40466160).

Almost surely, 2^7211640800 is an apocalyptic number.

7211640800 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 7211640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11654254080).

7211640800 is an abundant number, since it is smaller than the sum of its proper divisors (16096867360).

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

7211640800 is a wasteful number, since it uses less digits than its factorization.

7211640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 7211640800 is about 84921.3801112535. The cubic root of 7211640800 is about 1932.0188633999.

The spelling of 7211640800 in words is "seven billion, two hundred eleven million, six hundred forty thousand, eight hundred".