8190906000 has 320 divisors, whose sum is σ = 28220265216. Its totient is φ = 2036736000.

The previous prime is 8190905993. The next prime is 8190906011. The reversal of 8190906000 is 6090918.

It is a happy number.

It is a super-2 number, since 2×8190906000² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13361694 + ... + 13362306.

Almost surely, 2^8190906000 is an apocalyptic number.

8190906000 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 8190906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14110132608).

8190906000 is an abundant number, since it is smaller than the sum of its proper divisors (20029359216).

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

8190906000 is a wasteful number, since it uses less digits than its factorization.

8190906000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 8190906000 is about 90503.6242368227. The cubic root of 8190906000 is about 2015.7839392725.

Adding to 8190906000 its reverse (6090918), we get a palindrome (8196996918).

The spelling of 8190906000 in words is "eight billion, one hundred ninety million, nine hundred six thousand".