671639652000 has 1152 divisors, whose sum is σ = 2611782351360. Its totient is φ = 162931507200.

The previous prime is 671639651989. The next prime is 671639652001. The reversal of 671639652000 is 256936176.

671639652000 is a `hidden beast` number, since 6 + 7 + 1 + 639 + 6 + 5 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×671639652000² (a number of 24 digits) contains 22 as substring.

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 (671639652001) 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, 1992995832 + ... + 1992996168.

It is an arithmetic number, because the mean of its divisors is an integer number (2267172180).

Almost surely, 2^671639652000 is an apocalyptic number.

671639652000 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 671639652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305891175680).

671639652000 is an abundant number, since it is smaller than the sum of its proper divisors (1940142699360).

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

671639652000 is a wasteful number, since it uses less digits than its factorization.

671639652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 671639652000 in words is "six hundred seventy-one billion, six hundred thirty-nine million, six hundred fifty-two thousand".