64288892160 has 576 divisors, whose sum is σ = 237970656000. Its totient is φ = 16420700160.

The previous prime is 64288892149. The next prime is 64288892189. The reversal of 64288892160 is 6129888246.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64288892097 and 64288892106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83600256 + ... + 83601024.

It is an arithmetic number, because the mean of its divisors is an integer number (413143500).

Almost surely, 2^64288892160 is an apocalyptic number.

64288892160 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 64288892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118985328000).

64288892160 is an abundant number, since it is smaller than the sum of its proper divisors (173681763840).

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

64288892160 is a wasteful number, since it uses less digits than its factorization.

64288892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 64288892160 in words is "sixty-four billion, two hundred eighty-eight million, eight hundred ninety-two thousand, one hundred sixty".