64807200384 has 64 divisors (see below), whose sum is σ = 176342806080. Its totient is φ = 21075507200.

The previous prime is 64807200383. The next prime is 64807200389. The reversal of 64807200384 is 48300270846.

64807200384 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 (64).

It is a super-2 number, since 2×64807200384² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64807200383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2042412 + ... + 2073899.

It is an arithmetic number, because the mean of its divisors is an integer number (2755356345).

Almost surely, 2^64807200384 is an apocalyptic number.

64807200384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

64807200384 is an abundant number, since it is smaller than the sum of its proper divisors (111535605696).

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

64807200384 is a wasteful number, since it uses less digits than its factorization.

64807200384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116369 (or 4116357 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 64807200384 in words is "sixty-four billion, eight hundred seven million, two hundred thousand, three hundred eighty-four".