671890602240 has 1728 divisors, whose sum is σ = 2939586612480. Its totient is φ = 143256453120.

The previous prime is 671890602203. The next prime is 671890602247. The reversal of 671890602240 is 42206098176.

It is a happy number.

671890602240 is a `hidden beast` number, since 6 + 7 + 18 + 9 + 0 + 602 + 24 + 0 = 666.

671890602240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (671890602247) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2614360192 + ... + 2614360448.

It is an arithmetic number, because the mean of its divisors is an integer number (1701149660).

Almost surely, 2^671890602240 is an apocalyptic number.

671890602240 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 671890602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469793306240).

671890602240 is an abundant number, since it is smaller than the sum of its proper divisors (2267696010240).

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

671890602240 is a wasteful number, since it uses less digits than its factorization.

671890602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 671890602240 in words is "six hundred seventy-one billion, eight hundred ninety million, six hundred two thousand, two hundred forty".