2064736800 has 432 divisors, whose sum is σ = 8452708992. Its totient is φ = 464486400.

The previous prime is 2064736799. The next prime is 2064736901. The reversal of 2064736800 is 86374602.

2064736800 is a `hidden beast` number, since 2 + 0 + 647 + 3 + 6 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3578112 + ... + 3578688.

It is an arithmetic number, because the mean of its divisors is an integer number (19566456).

Almost surely, 2^2064736800 is an apocalyptic number.

2064736800 is a gapful number since it is divisible by the number (20) 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 2064736800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226354496).

2064736800 is an abundant number, since it is smaller than the sum of its proper divisors (6387972192).

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

2064736800 is a wasteful number, since it uses less digits than its factorization.

2064736800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2064736800 is about 45439.3749957017. The cubic root of 2064736800 is about 1273.3708372922.

The spelling of 2064736800 in words is "two billion, sixty-four million, seven hundred thirty-six thousand, eight hundred".