64784627712 has 768 divisors, whose sum is σ = 241532928000. Its totient is φ = 16729473024.

The previous prime is 64784627681. The next prime is 64784627753. The reversal of 64784627712 is 21772648746.

64784627712 is a `hidden beast` number, since 6 + 4 + 7 + 8 + 4 + 627 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169150273 + ... + 169150655.

It is an arithmetic number, because the mean of its divisors is an integer number (314496000).

Almost surely, 2^64784627712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64784627712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120766464000).

64784627712 is an abundant number, since it is smaller than the sum of its proper divisors (176748300288).

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

64784627712 is a wasteful number, since it uses less digits than its factorization.

64784627712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 437 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The spelling of 64784627712 in words is "sixty-four billion, seven hundred eighty-four million, six hundred twenty-seven thousand, seven hundred twelve".