8283257640 has 384 divisors, whose sum is σ = 32522031360. Its totient is φ = 1856784384.

The previous prime is 8283257639. The next prime is 8283257669. The reversal of 8283257640 is 467523828.

8283257640 is a `hidden beast` number, since 8 + 2 + 8 + 32 + 576 + 40 = 666.

It is a super-2 number, since 2×8283257640² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3604972 + ... + 3607268.

It is an arithmetic number, because the mean of its divisors is an integer number (84692790).

Almost surely, 2^8283257640 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 8283257640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16261015680).

8283257640 is an abundant number, since it is smaller than the sum of its proper divisors (24238773720).

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

8283257640 is a wasteful number, since it uses less digits than its factorization.

8283257640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8283257640 is about 91012.4037700357. The cubic root of 8283257640 is about 2023.3315639930.

The spelling of 8283257640 in words is "eight billion, two hundred eighty-three million, two hundred fifty-seven thousand, six hundred forty".