864477080064 has 320 divisors, whose sum is σ = 2789820190080. Its totient is φ = 265988468736.

The previous prime is 864477080057. The next prime is 864477080083. The reversal of 864477080064 is 460080774468.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14526979 + ... + 14586365.

It is an arithmetic number, because the mean of its divisors is an integer number (8718188094).

Almost surely, 2^864477080064 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 864477080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394910095040).

864477080064 is an abundant number, since it is smaller than the sum of its proper divisors (1925343110016).

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

864477080064 is an frugal number, since it uses more digits than its factorization.

864477080064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59439 (or 59405 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 864477080064 in words is "eight hundred sixty-four billion, four hundred seventy-seven million, eighty thousand, sixty-four".