64509471488592 has 240 divisors, whose sum is σ = 198027421475520. Its totient is φ = 19482275561472.

The previous prime is 64509471488587. The next prime is 64509471488801. The reversal of 64509471488592 is 29588417490546.

It is a happy number.

64509471488592 is a `hidden beast` number, since 6 + 4 + 5 + 0 + 94 + 7 + 1 + 488 + 59 + 2 = 666.

It is a super-2 number, since 2×64509471488592² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 64509471488592.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70563888 + ... + 71472240.

It is an arithmetic number, because the mean of its divisors is an integer number (825114256148).

Almost surely, 2^{64509471488592} 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 64509471488592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99013710737760).

64509471488592 is an abundant number, since it is smaller than the sum of its proper divisors (133517949986928).

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

64509471488592 is a wasteful number, since it uses less digits than its factorization.

64509471488592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909082 (or 909073 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 64509471488592 in words is "sixty-four trillion, five hundred nine billion, four hundred seventy-one million, four hundred eighty-eight thousand, five hundred ninety-two".