8280997260480 has 560 divisors, whose sum is σ = 33851231109696. Its totient is φ = 1882334453760.

The previous prime is 8280997260457. The next prime is 8280997260509. The reversal of 8280997260480 is 840627990828.

8280997260480 is a `hidden beast` number, since 8 + 2 + 8 + 0 + 9 + 97 + 2 + 60 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32714562 + ... + 32966718.

Almost surely, 2^{8280997260480} is an apocalyptic number.

8280997260480 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 8280997260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16925615554848).

8280997260480 is an abundant number, since it is smaller than the sum of its proper divisors (25570233849216).

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

8280997260480 is a wasteful number, since it uses less digits than its factorization.

8280997260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252374 (or 252355 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 8280997260480 in words is "eight trillion, two hundred eighty billion, nine hundred ninety-seven million, two hundred sixty thousand, four hundred eighty".