8627732820 has 240 divisors, whose sum is σ = 31565318400. Its totient is φ = 1971926208.

The previous prime is 8627732809. The next prime is 8627732821. The reversal of 8627732820 is 282377268.

It is a super-2 number, since 2×8627732820² (a number of 21 digits) contains 22 as substring.

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 (8627732821) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 547897 + ... + 563423.

It is an arithmetic number, because the mean of its divisors is an integer number (131522160).

Almost surely, 2^8627732820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8627732820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15782659200).

8627732820 is an abundant number, since it is smaller than the sum of its proper divisors (22937585580).

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

8627732820 is a wasteful number, since it uses less digits than its factorization.

8627732820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15569 (or 15544 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 8627732820 is about 92885.5899480646. The cubic root of 8627732820 is about 2050.9995379483. Note that the first 3 decimals are identical.

The spelling of 8627732820 in words is "eight billion, six hundred twenty-seven million, seven hundred thirty-two thousand, eight hundred twenty".