671610568172544 has 5632 divisors, whose sum is σ = 2879371548426240. Its totient is φ = 149060321280000.

The previous prime is 671610568172527. The next prime is 671610568172563. The reversal of 671610568172544 is 445271865016176.

671610568172544 is a `hidden beast` number, since 6 + 7 + 1 + 6 + 1 + 0 + 5 + 6 + 81 + 7 + 2 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (5632).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2145720664932 + ... + 2145720665244.

Almost surely, 2^{671610568172544} is an apocalyptic number.

671610568172544 is a gapful number since it is divisible by the number (64) 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 671610568172544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439685774213120).

671610568172544 is an abundant number, since it is smaller than the sum of its proper divisors (2207760980253696).

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

671610568172544 is a wasteful number, since it uses less digits than its factorization.

671610568172544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 671610568172544 in words is "six hundred seventy-one trillion, six hundred ten billion, five hundred sixty-eight million, one hundred seventy-two thousand, five hundred forty-four".