8106016824360 has 1536 divisors, whose sum is σ = 36245978496000. Its totient is φ = 1520415277056.

The previous prime is 8106016824319. The next prime is 8106016824391. The reversal of 8106016824360 is 634286106018.

8106016824360 is a `hidden beast` number, since 8 + 1 + 0 + 601 + 6 + 8 + 2 + 4 + 36 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4327824384 + ... + 4327826256.

It is an arithmetic number, because the mean of its divisors is an integer number (23597642250).

Almost surely, 2^{8106016824360} 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 8106016824360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18122989248000).

8106016824360 is an abundant number, since it is smaller than the sum of its proper divisors (28139961671640).

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

8106016824360 is a wasteful number, since it uses less digits than its factorization.

8106016824360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 8106016824360 in words is "eight trillion, one hundred six billion, sixteen million, eight hundred twenty-four thousand, three hundred sixty".