486071746560 has 1200 divisors, whose sum is σ = 1918332218880. Its totient is φ = 117209825280.

The previous prime is 486071746541. The next prime is 486071746583. The reversal of 486071746560 is 65647170684.

486071746560 is a `hidden beast` number, since 4 + 8 + 6 + 0 + 7 + 1 + 74 + 6 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 486071746497 and 486071746506.

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, 3496918971 + ... + 3496919109.

Almost surely, 2^486071746560 is an apocalyptic number.

486071746560 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 486071746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959166109440).

486071746560 is an abundant number, since it is smaller than the sum of its proper divisors (1432260472320).

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

486071746560 is a wasteful number, since it uses less digits than its factorization.

486071746560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 486071746560 in words is "four hundred eighty-six billion, seventy-one million, seven hundred forty-six thousand, five hundred sixty".