486201076966080 has 1120 divisors, whose sum is σ = 2005079063150592. Its totient is φ = 109551805655040.

The previous prime is 486201076966057. The next prime is 486201076966097. The reversal of 486201076966080 is 80669670102684.

486201076966080 is a `hidden beast` number, since 4 + 8 + 6 + 2 + 0 + 10 + 7 + 6 + 9 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a junction number, because it is equal to n+sod(n) for n = 486201076965999 and 486201076966017.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 64939368097 + ... + 64939375583.

Almost surely, 2^{486201076966080} is an apocalyptic number.

486201076966080 is a gapful number since it is divisible by the number (40) 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 486201076966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002539531575296).

486201076966080 is an abundant number, since it is smaller than the sum of its proper divisors (1518877986184512).

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

486201076966080 is an frugal number, since it uses more digits than its factorization.

486201076966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7736 (or 7575 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 486201076966080 in words is "four hundred eighty-six trillion, two hundred one billion, seventy-six million, nine hundred sixty-six thousand, eighty".