64873448640 has 1344 divisors, whose sum is σ = 309503185920. Its totient is φ = 12421693440.

The previous prime is 64873448611. The next prime is 64873448641. The reversal of 64873448640 is 4684437846.

64873448640 is a `hidden beast` number, since 6 + 487 + 3 + 44 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (64873448641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 112432032 + ... + 112432608.

Almost surely, 2^64873448640 is an apocalyptic number.

64873448640 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 64873448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154751592960).

64873448640 is an abundant number, since it is smaller than the sum of its proper divisors (244629737280).

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

64873448640 is a wasteful number, since it uses less digits than its factorization.

64873448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 64873448640 in words is "sixty-four billion, eight hundred seventy-three million, four hundred forty-eight thousand, six hundred forty".