8142683952480 has 768 divisors, whose sum is σ = 32713922304000. Its totient is φ = 1687695851520.

The previous prime is 8142683952443. The next prime is 8142683952521. The reversal of 8142683952480 is 842593862418.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 740709864 + ... + 740720856.

It is an arithmetic number, because the mean of its divisors is an integer number (42596253000).

Almost surely, 2^{8142683952480} is an apocalyptic number.

8142683952480 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 8142683952480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16356961152000).

8142683952480 is an abundant number, since it is smaller than the sum of its proper divisors (24571238351520).

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

8142683952480 is a wasteful number, since it uses less digits than its factorization.

8142683952480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11452 (or 11430 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 8142683952480 in words is "eight trillion, one hundred forty-two billion, six hundred eighty-three million, nine hundred fifty-two thousand, four hundred eighty".