8402808960 has 1536 divisors, whose sum is σ = 40419025920. Its totient is φ = 1557135360.

The previous prime is 8402808917. The next prime is 8402808961. The reversal of 8402808960 is 698082048.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8402808961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 204946540 + ... + 204946580.

It is an arithmetic number, because the mean of its divisors is an integer number (26314470).

Almost surely, 2^8402808960 is an apocalyptic number.

8402808960 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 8402808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20209512960).

8402808960 is an abundant number, since it is smaller than the sum of its proper divisors (32016216960).

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

8402808960 is a wasteful number, since it uses less digits than its factorization.

8402808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8402808960 is about 91666.8367513574. The cubic root of 8402808960 is about 2033.0192770051.

The spelling of 8402808960 in words is "eight billion, four hundred two million, eight hundred eight thousand, nine hundred sixty".