482842487102976 has 7200 divisors, whose sum is σ = 2159397405792000. Its totient is φ = 106135606886400.

The previous prime is 482842487102951. The next prime is 482842487102977. The reversal of 482842487102976 is 679201784248284.

482842487102976 is a `hidden beast` number, since 4 + 8 + 2 + 8 + 42 + 487 + 10 + 2 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482842487102977) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 15575564100081 + ... + 15575564100111.

It is an arithmetic number, because the mean of its divisors is an integer number (299916306360).

Almost surely, 2^{482842487102976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482842487102976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079698702896000).

482842487102976 is an abundant number, since it is smaller than the sum of its proper divisors (1676554918689024).

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

482842487102976 is a wasteful number, since it uses less digits than its factorization.

482842487102976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 482842487102976 in words is "four hundred eighty-two trillion, eight hundred forty-two billion, four hundred eighty-seven million, one hundred two thousand, nine hundred seventy-six".