671279263200 has 2160 divisors, whose sum is σ = 3106285247520. Its totient is φ = 135421009920.

The previous prime is 671279263169. The next prime is 671279263201. The reversal of 671279263200 is 2362972176.

671279263200 is a `hidden beast` number, since 6 + 7 + 1 + 2 + 7 + 9 + 2 + 632 + 0 + 0 = 666.

671279263200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671279263201) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 6517274349 + ... + 6517274451.

It is an arithmetic number, because the mean of its divisors is an integer number (1438095022).

Almost surely, 2^671279263200 is an apocalyptic number.

671279263200 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 671279263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553142623760).

671279263200 is an abundant number, since it is smaller than the sum of its proper divisors (2435005984320).

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

671279263200 is a wasteful number, since it uses less digits than its factorization.

671279263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 671279263200 in words is "six hundred seventy-one billion, two hundred seventy-nine million, two hundred sixty-three thousand, two hundred".