82449065064960 has 800 divisors, whose sum is σ = 332544847624704. Its totient is φ = 19342872576000.

The previous prime is 82449065064827. The next prime is 82449065064997. The reversal of 82449065064960 is 6946056094428.

82449065064960 is a `hidden beast` number, since 8 + 2 + 4 + 4 + 90 + 6 + 50 + 6 + 496 + 0 = 666.

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, 70126750 + ... + 71292770.

Almost surely, 2^{82449065064960} is an apocalyptic number.

82449065064960 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 82449065064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166272423812352).

82449065064960 is an abundant number, since it is smaller than the sum of its proper divisors (250095782559744).

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

82449065064960 is a wasteful number, since it uses less digits than its factorization.

82449065064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166098 (or 1166073 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 82449065064960 in words is "eighty-two trillion, four hundred forty-nine billion, sixty-five million, sixty-four thousand, nine hundred sixty".