8533607040 has 256 divisors, whose sum is σ = 34541280000. Its totient is φ = 1950511104.

The previous prime is 8533607021. The next prime is 8533607041. The reversal of 8533607040 is 407063358.

It is a happy number.

8533607040 is a `hidden beast` number, since 8 + 5 + 3 + 3 + 607 + 0 + 40 = 666.

It is a super-2 number, since 2×8533607040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8533606986 and 8533607004.

It is not an unprimeable number, because it can be changed into a prime (8533607041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85686 + ... + 156234.

It is an arithmetic number, because the mean of its divisors is an integer number (134926875).

Almost surely, 2^8533607040 is an apocalyptic number.

8533607040 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 8533607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17270640000).

8533607040 is an abundant number, since it is smaller than the sum of its proper divisors (26007672960).

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

8533607040 is a wasteful number, since it uses less digits than its factorization.

8533607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70584 (or 70566 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 8533607040 is about 92377.5245392514. The cubic root of 8533607040 is about 2043.5136678159.

The spelling of 8533607040 in words is "eight billion, five hundred thirty-three million, six hundred seven thousand, forty".