2640564763200 has 3024 divisors, whose sum is σ = 12579470904000. Its totient is φ = 519202897920.

The previous prime is 2640564763189. The next prime is 2640564763201. The reversal of 2640564763200 is 23674650462.

2640564763200 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 5 + 6 + 4 + 7 + 632 + 0 + 0 = 666.

2640564763200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2640564763201) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 18996868731 + ... + 18996868869.

Almost surely, 2^{2640564763200} is an apocalyptic number.

2640564763200 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 2640564763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289735452000).

2640564763200 is an abundant number, since it is smaller than the sum of its proper divisors (9938906140800).

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

2640564763200 is a wasteful number, since it uses less digits than its factorization.

2640564763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 2640564763200 in words is "two trillion, six hundred forty billion, five hundred sixty-four million, seven hundred sixty-three thousand, two hundred".