864228177680 has 320 divisors, whose sum is σ = 2444380692480. Its totient is φ = 277777133568.

The previous prime is 864228177661. The next prime is 864228177691. The reversal of 864228177680 is 86771822468.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153256301 + ... + 153261939.

It is an arithmetic number, because the mean of its divisors is an integer number (7638689664).

Almost surely, 2^864228177680 is an apocalyptic number.

864228177680 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 864228177680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222190346240).

864228177680 is an abundant number, since it is smaller than the sum of its proper divisors (1580152514800).

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

864228177680 is a wasteful number, since it uses less digits than its factorization.

864228177680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918 (or 5912 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 59.

The spelling of 864228177680 in words is "eight hundred sixty-four billion, two hundred twenty-eight million, one hundred seventy-seven thousand, six hundred eighty".