64813240800 has 1728 divisors, whose sum is σ = 314192390400. Its totient is φ = 12715315200.

The previous prime is 64813240783. The next prime is 64813240867. The reversal of 64813240800 is 804231846.

64813240800 is a `hidden beast` number, since 648 + 1 + 3 + 2 + 4 + 0 + 8 + 0 + 0 = 666.

64813240800 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 221205454 + ... + 221205746.

It is an arithmetic number, because the mean of its divisors is an integer number (181824300).

Almost surely, 2^64813240800 is an apocalyptic number.

64813240800 is a gapful number since it is divisible by the number (60) 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 64813240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157096195200).

64813240800 is an abundant number, since it is smaller than the sum of its proper divisors (249379149600).

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

64813240800 is a wasteful number, since it uses less digits than its factorization.

64813240800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 64813240800 in words is "sixty-four billion, eight hundred thirteen million, two hundred forty thousand, eight hundred".