864378801660 has 288 divisors, whose sum is σ = 2809445184000. Its totient is φ = 197869478400.

The previous prime is 864378801631. The next prime is 864378801697. The reversal of 864378801660 is 66108873468.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 864378801660.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42889266 + ... + 42909414.

It is an arithmetic number, because the mean of its divisors is an integer number (9755018000).

Almost surely, 2^864378801660 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 864378801660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404722592000).

864378801660 is an abundant number, since it is smaller than the sum of its proper divisors (1945066382340).

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

864378801660 is a wasteful number, since it uses less digits than its factorization.

864378801660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20513 (or 20500 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 864378801660 in words is "eight hundred sixty-four billion, three hundred seventy-eight million, eight hundred one thousand, six hundred sixty".