671629155561000 has 1536 divisors, whose sum is σ = 2913849318481920. Its totient is φ = 135720935424000.

The previous prime is 671629155560999. The next prime is 671629155561059. The reversal of 671629155561000 is 165551926176.

It is a happy number.

671629155561000 is a `hidden beast` number, since 6 + 7 + 1 + 6 + 2 + 9 + 15 + 5 + 5 + 610 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2462596642 + ... + 2462869358.

It is an arithmetic number, because the mean of its divisors is an integer number (1897037316720).

Almost surely, 2^{671629155561000} is an apocalyptic number.

671629155561000 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 671629155561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456924659240960).

671629155561000 is an abundant number, since it is smaller than the sum of its proper divisors (2242220162920920).

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

671629155561000 is a wasteful number, since it uses less digits than its factorization.

671629155561000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272892 (or 272875 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 671629155561000 in words is "six hundred seventy-one trillion, six hundred twenty-nine billion, one hundred fifty-five million, five hundred sixty-one thousand".