4186561764 has 324 divisors, whose sum is σ = 13263353712. Its totient is φ = 1023865920.

The previous prime is 4186561751. The next prime is 4186561777. The reversal of 4186561764 is 4671656814.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4186561751) and next prime (4186561777).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 25684347 + ... + 25684509.

Almost surely, 2^4186561764 is an apocalyptic number.

4186561764 is a gapful number since it is divisible by the number (44) 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 4186561764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631676856).

4186561764 is an abundant number, since it is smaller than the sum of its proper divisors (9076791948).

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

4186561764 is a wasteful number, since it uses less digits than its factorization.

4186561764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 205 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 4186561764 is about 64703.6456778132. The cubic root of 4186561764 is about 1611.7060428382.

The spelling of 4186561764 in words is "four billion, one hundred eighty-six million, five hundred sixty-one thousand, seven hundred sixty-four".