8490807000 has 384 divisors, whose sum is σ = 31917150720. Its totient is φ = 2021760000.

The previous prime is 8490806993. The next prime is 8490807011. The reversal of 8490807000 is 7080948.

It is a super-2 number, since 2×8490807000² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3625830 + ... + 3628170.

It is an arithmetic number, because the mean of its divisors is an integer number (83117580).

Almost surely, 2^8490807000 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 8490807000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958575360).

8490807000 is an abundant number, since it is smaller than the sum of its proper divisors (23426343720).

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

8490807000 is a wasteful number, since it uses less digits than its factorization.

8490807000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8490807000 is about 92145.5750429721. The cubic root of 8490807000 is about 2040.0915472181.

Adding to 8490807000 its reverse (7080948), we get a palindrome (8497887948).

The spelling of 8490807000 in words is "eight billion, four hundred ninety million, eight hundred seven thousand".