64961587584 has 96 divisors (see below), whose sum is σ = 187913082240. Its totient is φ = 21540418560.

The previous prime is 64961587577. The next prime is 64961587609. The reversal of 64961587584 is 48578516946.

64961587584 is a `hidden beast` number, since 6 + 4 + 9 + 615 + 8 + 7 + 5 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×64961587584² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72414 + ... + 367650.

It is an arithmetic number, because the mean of its divisors is an integer number (1957427940).

Almost surely, 2^64961587584 is an apocalyptic number.

64961587584 is a gapful number since it is divisible by the number (64) 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 64961587584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93956541120).

64961587584 is an abundant number, since it is smaller than the sum of its proper divisors (122951494656).

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

64961587584 is a wasteful number, since it uses less digits than its factorization.

64961587584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295448 (or 295433 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 64961587584 in words is "sixty-four billion, nine hundred sixty-one million, five hundred eighty-seven thousand, five hundred eighty-four".