64584412464 has 240 divisors, whose sum is σ = 202559035392. Its totient is φ = 17481024000.

The previous prime is 64584412463. The next prime is 64584412469. The reversal of 64584412464 is 46421448546.

64584412464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64584412464² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (64584412463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6591409 + ... + 6601199.

Almost surely, 2^64584412464 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 64584412464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101279517696).

64584412464 is an abundant number, since it is smaller than the sum of its proper divisors (137974622928).

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

64584412464 is a wasteful number, since it uses less digits than its factorization.

64584412464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9888 (or 9851 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 48.

The spelling of 64584412464 in words is "sixty-four billion, five hundred eighty-four million, four hundred twelve thousand, four hundred sixty-four".