8233397640 has 192 divisors, whose sum is σ = 28876302000. Its totient is φ = 2022506496.

The previous prime is 8233397633. The next prime is 8233397647. The reversal of 8233397640 is 467933328.

It is an interprime number because it is at equal distance from previous prime (8233397633) and next prime (8233397647).

It can be written as a sum of positive squares in 8 ways, for example, as 2973957156 + 5259440484 = 54534^2 + 72522^2 .

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 (8233397647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2698836 + ... + 2701884.

Almost surely, 2^8233397640 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 8233397640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14438151000).

8233397640 is an abundant number, since it is smaller than the sum of its proper divisors (20642904360).

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

8233397640 is a wasteful number, since it uses less digits than its factorization.

8233397640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 8233397640 is about 90738.0716127470. The cubic root of 8233397640 is about 2019.2636632615.

The spelling of 8233397640 in words is "eight billion, two hundred thirty-three million, three hundred ninety-seven thousand, six hundred forty".