8142062872320 has 1440 divisors, whose sum is σ = 32220116292672. Its totient is φ = 1950970281984.

The previous prime is 8142062872319. The next prime is 8142062872327. The reversal of 8142062872320 is 232782602418.

8142062872320 is a `hidden beast` number, since 8 + 1 + 42 + 0 + 6 + 287 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8142062872327) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8166562062 + ... + 8166563058.

Almost surely, 2^{8142062872320} is an apocalyptic number.

8142062872320 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 8142062872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16110058146336).

8142062872320 is an abundant number, since it is smaller than the sum of its proper divisors (24078053420352).

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

8142062872320 is a wasteful number, since it uses less digits than its factorization.

8142062872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 8142062872320 in words is "eight trillion, one hundred forty-two billion, sixty-two million, eight hundred seventy-two thousand, three hundred twenty".