8112363840 has 280 divisors, whose sum is σ = 32980286592. Its totient is φ = 1854213120.

The previous prime is 8112363839. The next prime is 8112363907. The reversal of 8112363840 is 483632118.

8112363840 is a `hidden beast` number, since 8 + 1 + 12 + 3 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a junction number, because it is equal to n+sod(n) for n = 8112363795 and 8112363804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159085 + ... + 203795.

Almost surely, 2^8112363840 is an apocalyptic number.

8112363840 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 8112363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16490143296).

8112363840 is an abundant number, since it is smaller than the sum of its proper divisors (24867922752).

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

8112363840 is a wasteful number, since it uses less digits than its factorization.

8112363840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44747 (or 44728 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8112363840 is about 90068.6618086446. The cubic root of 8112363840 is about 2009.3201532387.

Adding to 8112363840 its reverse (483632118), we get a palindrome (8595995958).

The spelling of 8112363840 in words is "eight billion, one hundred twelve million, three hundred sixty-three thousand, eight hundred forty".