8180219970 has 160 divisors (see below), whose sum is σ = 25081621488. Its totient is φ = 1895104512.

The previous prime is 8180219947. The next prime is 8180219981. The reversal of 8180219970 is 799120818.

It can be written as a sum of positive squares in 8 ways, for example, as 2561068449 + 5619151521 = 50607^2 + 74961^2 .

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

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 79 ways as a sum of consecutive naturals, for example, 156162 + ... + 201858.

Almost surely, 2^8180219970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8180219970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12540810744).

8180219970 is an abundant number, since it is smaller than the sum of its proper divisors (16901401518).

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

8180219970 is a wasteful number, since it uses less digits than its factorization.

8180219970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45746 (or 45737 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 8180219970 is about 90444.5684936359. The cubic root of 8180219970 is about 2014.9069462618.

It can be divided in two parts, 8180 and 219970, that added together give a triangular number (228150 = T₆₇₅).

The spelling of 8180219970 in words is "eight billion, one hundred eighty million, two hundred nineteen thousand, nine hundred seventy".