641117700 has 144 divisors (see below), whose sum is σ = 2082366720. Its totient is φ = 169200000.

The previous prime is 641117699. The next prime is 641117713. The reversal of 641117700 is 7711146.

641117700 is a `hidden beast` number, since 641 + 1 + 17 + 7 + 0 + 0 = 666.

It is a super-2 number, since 2×641117700² = 822063810506580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271525 + ... + 273875.

It is an arithmetic number, because the mean of its divisors is an integer number (14460880).

Almost surely, 2^641117700 is an apocalyptic number.

641117700 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 641117700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041183360).

641117700 is an abundant number, since it is smaller than the sum of its proper divisors (1441249020).

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

641117700 is a wasteful number, since it uses less digits than its factorization.

641117700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 641117700 is about 25320.3021308988. The cubic root of 641117700 is about 862.2752533508.

Adding to 641117700 its reverse (7711146), we get a palindrome (648828846).

It can be divided in two parts, 641 and 117700, that added together give a triangular number (118341 = T₄₈₆).

The spelling of 641117700 in words is "six hundred forty-one million, one hundred seventeen thousand, seven hundred".