671758563840 has 1280 divisors, whose sum is σ = 2798220902400. Its totient is φ = 133855248384.

The previous prime is 671758563793. The next prime is 671758563871. The reversal of 671758563840 is 48365857176.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8503272921 + ... + 8503272999.

It is an arithmetic number, because the mean of its divisors is an integer number (2186110080).

Almost surely, 2^671758563840 is an apocalyptic number.

671758563840 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 671758563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399110451200).

671758563840 is an abundant number, since it is smaller than the sum of its proper divisors (2126462338560).

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

671758563840 is an equidigital number, since it uses as much as digits as its factorization.

671758563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 671758563840 in words is "six hundred seventy-one billion, seven hundred fifty-eight million, five hundred sixty-three thousand, eight hundred forty".