8642350080 has 880 divisors, whose sum is σ = 38282502720. Its totient is φ = 1815478272.

The previous prime is 8642349979. The next prime is 8642350081. The reversal of 8642350080 is 800532468.

8642350080 is a `hidden beast` number, since 8 + 642 + 3 + 5 + 0 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8642350081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37739406 + ... + 37739634.

It is an arithmetic number, because the mean of its divisors is an integer number (43502844).

Almost surely, 2^8642350080 is an apocalyptic number.

8642350080 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 8642350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19141251360).

8642350080 is an abundant number, since it is smaller than the sum of its proper divisors (29640152640).

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

8642350080 is a wasteful number, since it uses less digits than its factorization.

8642350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8642350080 is about 92964.2408671205. The cubic root of 8642350080 is about 2052.1571645295.

It can be divided in two parts, 86423 and 50080, that added together give a triangular number (136503 = T₅₂₂).

The spelling of 8642350080 in words is "eight billion, six hundred forty-two million, three hundred fifty thousand, eighty".