8410538772 has 60 divisors (see below), whose sum is σ = 22523108916. Its totient is φ = 2735130240.

The previous prime is 8410538771. The next prime is 8410538779. The reversal of 8410538772 is 2778350148.

8410538772 is a `hidden beast` number, since 8 + 41 + 0 + 538 + 7 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3575561616 + 4834977156 = 59796^2 + 69534^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8410538771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 303283 + ... + 329850.

Almost surely, 2^8410538772 is an apocalyptic number.

8410538772 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

8410538772 is an abundant number, since it is smaller than the sum of its proper divisors (14112570144).

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

8410538772 is a wasteful number, since it uses less digits than its factorization.

8410538772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633190 (or 633179 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 8410538772 is about 91708.9895920787. The cubic root of 8410538772 is about 2033.6424829116.

The spelling of 8410538772 in words is "eight billion, four hundred ten million, five hundred thirty-eight thousand, seven hundred seventy-two".