8502320640 has 320 divisors, whose sum is σ = 31218359040. Its totient is φ = 1952317440.

The previous prime is 8502320573. The next prime is 8502320663. The reversal of 8502320640 is 460232058.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8502320598 and 8502320607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1602472 + ... + 1607768.

It is an arithmetic number, because the mean of its divisors is an integer number (97557372).

Almost surely, 2^8502320640 is an apocalyptic number.

8502320640 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 8502320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15609179520).

8502320640 is an abundant number, since it is smaller than the sum of its proper divisors (22716038400).

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

8502320640 is a wasteful number, since it uses less digits than its factorization.

8502320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353 (or 5337 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 8502320640 is about 92208.0291514790. The cubic root of 8502320640 is about 2041.0132605708.

Adding to 8502320640 its reverse (460232058), we get a palindrome (8962552698).

The spelling of 8502320640 in words is "eight billion, five hundred two million, three hundred twenty thousand, six hundred forty".