64813047600 has 240 divisors, whose sum is σ = 237453413120. Its totient is φ = 14803430400.

The previous prime is 64813047571. The next prime is 64813047647. The reversal of 64813047600 is 674031846.

64813047600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×64813047600² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18301830 + ... + 18305370.

Almost surely, 2^64813047600 is an apocalyptic number.

64813047600 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 64813047600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118726706560).

64813047600 is an abundant number, since it is smaller than the sum of its proper divisors (172640365520).

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

64813047600 is a wasteful number, since it uses less digits than its factorization.

64813047600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5748 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 64813047600 in words is "sixty-four billion, eight hundred thirteen million, forty-seven thousand, six hundred".