671007375360 has 960 divisors, whose sum is σ = 2826622656000. Its totient is φ = 143747186688.

The previous prime is 671007375317. The next prime is 671007375371. The reversal of 671007375360 is 63573700176.

It is a happy number.

671007375360 is a `hidden beast` number, since 6 + 7 + 100 + 7 + 3 + 7 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2807562121 + ... + 2807562359.

It is an arithmetic number, because the mean of its divisors is an integer number (2944398600).

Almost surely, 2^671007375360 is an apocalyptic number.

671007375360 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 671007375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413311328000).

671007375360 is an abundant number, since it is smaller than the sum of its proper divisors (2155615280640).

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

671007375360 is an equidigital number, since it uses as much as digits as its factorization.

671007375360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The spelling of 671007375360 in words is "six hundred seventy-one billion, seven million, three hundred seventy-five thousand, three hundred sixty".