671525164800 has 648 divisors, whose sum is σ = 2864477338800. Its totient is φ = 153489530880.

The previous prime is 671525164763. The next prime is 671525164801. The reversal of 671525164800 is 8461525176.

671525164800 is a `hidden beast` number, since 6 + 7 + 1 + 52 + 516 + 4 + 80 + 0 = 666.

It is a super-4 number, since 4×671525164800⁴ (a number of 48 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (671525164801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8427546 + ... + 8506854.

Almost surely, 2^671525164800 is an apocalyptic number.

671525164800 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 671525164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432238669400).

671525164800 is an abundant number, since it is smaller than the sum of its proper divisors (2192952174000).

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

671525164800 is a wasteful number, since it uses less digits than its factorization.

671525164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79358 (or 79326 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

Adding to 671525164800 its reverse (8461525176), we get a palindrome (679986689976).

The spelling of 671525164800 in words is "six hundred seventy-one billion, five hundred twenty-five million, one hundred sixty-four thousand, eight hundred".