671016960000 has 750 divisors, whose sum is σ = 2508176556270. Its totient is φ = 178716672000.

The previous prime is 671016959993. The next prime is 671016960037. The reversal of 671016960000 is 69610176.

It can be written as a sum of positive squares in 5 ways, for example, as 132519297024 + 538497662976 = 364032^2 + 733824^2 .

It is a tau number, because it is divible by the number of its divisors (750).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 829439596 + ... + 829440404.

Almost surely, 2^671016960000 is an apocalyptic number.

671016960000 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 671016960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254088278135).

671016960000 is an abundant number, since it is smaller than the sum of its proper divisors (1837159596270).

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

671016960000 is an frugal number, since it uses more digits than its factorization.

671016960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 671016960000 in words is "six hundred seventy-one billion, sixteen million, nine hundred sixty thousand".