8838512640 has 476 divisors, whose sum is σ = 32663417484. Its totient is φ = 2293235712.

The previous prime is 8838512629. The next prime is 8838512647. The reversal of 8838512640 is 462158388.

8838512640 is a `hidden beast` number, since 8 + 8 + 385 + 1 + 264 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5780865024 + 3057647616 = 76032^2 + 55296^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8838512647) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 238878702 + ... + 238878738.

Almost surely, 2^8838512640 is an apocalyptic number.

8838512640 is a gapful number since it is divisible by the number (80) 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 8838512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16331708742).

8838512640 is an abundant number, since it is smaller than the sum of its proper divisors (23824904844).

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

8838512640 is an frugal number, since it uses more digits than its factorization.

8838512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8838512640 is about 94013.3641563794. The cubic root of 8838512640 is about 2067.5676533957.

It can be divided in two parts, 88385 and 12640, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 8838512640 in words is "eight billion, eight hundred thirty-eight million, five hundred twelve thousand, six hundred forty".