8031462828480 has 5376 divisors, whose sum is σ = 40081584291840. Its totient is φ = 1483436851200.

The previous prime is 8031462828463. The next prime is 8031462828491. The reversal of 8031462828480 is 848282641308.

8031462828480 is a `hidden beast` number, since 8 + 0 + 3 + 1 + 4 + 628 + 2 + 8 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×8031462828480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 170882187817 + ... + 170882187863.

It is an arithmetic number, because the mean of its divisors is an integer number (7455651840).

Almost surely, 2^{8031462828480} is an apocalyptic number.

8031462828480 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 8031462828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20040792145920).

8031462828480 is an abundant number, since it is smaller than the sum of its proper divisors (32050121463360).

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

8031462828480 is a wasteful number, since it uses less digits than its factorization.

8031462828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 8031462828480 in words is "eight trillion, thirty-one billion, four hundred sixty-two million, eight hundred twenty-eight thousand, four hundred eighty".