64520064000 has 1320 divisors, whose sum is σ = 281911398912. Its totient is φ = 14631321600.

The previous prime is 64520063947. The next prime is 64520064001. The reversal of 64520064000 is 46002546.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (64520064001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 508031937 + ... + 508032063.

Almost surely, 2^64520064000 is an apocalyptic number.

64520064000 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 64520064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140955699456).

64520064000 is an abundant number, since it is smaller than the sum of its proper divisors (217391334912).

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

64520064000 is a wasteful number, since it uses less digits than its factorization.

64520064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 64520064000 its reverse (46002546), we get a palindrome (64566066546).

The spelling of 64520064000 in words is "sixty-four billion, five hundred twenty million, sixty-four thousand".