8362625040 has 960 divisors, whose sum is σ = 39108925440. Its totient is φ = 1546076160.

The previous prime is 8362624987. The next prime is 8362625113. The reversal of 8362625040 is 405262638.

8362625040 is a `hidden beast` number, since 8 + 3 + 626 + 25 + 0 + 4 + 0 = 666.

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 = 8362624986 and 8362625004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17906887 + ... + 17907353.

It is an arithmetic number, because the mean of its divisors is an integer number (40738464).

Almost surely, 2^8362625040 is an apocalyptic number.

8362625040 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 8362625040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19554462720).

8362625040 is an abundant number, since it is smaller than the sum of its proper divisors (30746300400).

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

8362625040 is a wasteful number, since it uses less digits than its factorization.

8362625040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 8362625040 is about 91447.3894652002. The cubic root of 8362625040 is about 2029.7733284078.

Adding to 8362625040 its reverse (405262638), we get a palindrome (8767887678).

The spelling of 8362625040 in words is "eight billion, three hundred sixty-two million, six hundred twenty-five thousand, forty".