64688512000 has 704 divisors, whose sum is σ = 199631038464. Its totient is φ = 20437401600.

The previous prime is 64688511997. The next prime is 64688512003. The reversal of 64688512000 is 21588646.

It is an interprime number because it is at equal distance from previous prime (64688511997) and next prime (64688512003).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64688512003) by changing a digit.

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, 886143964 + ... + 886144036.

It is an arithmetic number, because the mean of its divisors is an integer number (283566816).

Almost surely, 2^64688512000 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 64688512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99815519232).

64688512000 is an abundant number, since it is smaller than the sum of its proper divisors (134942526464).

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

64688512000 is a wasteful number, since it uses less digits than its factorization.

64688512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 64688512000 in words is "sixty-four billion, six hundred eighty-eight million, five hundred twelve thousand".