85664463360 has 640 divisors, whose sum is σ = 336578457600. Its totient is φ = 18140626944.

The previous prime is 85664463341. The next prime is 85664463361. The reversal of 85664463360 is 6336446658.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (85664463361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61231941 + ... + 61233339.

It is an arithmetic number, because the mean of its divisors is an integer number (525903840).

Almost surely, 2^85664463360 is an apocalyptic number.

85664463360 is a gapful number since it is divisible by the number (80) 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 85664463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168289228800).

85664463360 is an abundant number, since it is smaller than the sum of its proper divisors (250913994240).

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

85664463360 is a wasteful number, since it uses less digits than its factorization.

85664463360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 51.

The spelling of 85664463360 in words is "eighty-five billion, six hundred sixty-four million, four hundred sixty-three thousand, three hundred sixty".