481580273664 has 1664 divisors, whose sum is σ = 1893245460480. Its totient is φ = 117719433216.

The previous prime is 481580273663. The next prime is 481580273683. The reversal of 481580273664 is 466372085184.

It is a happy number.

481580273664 is a `hidden beast` number, since 4 + 8 + 1 + 580 + 27 + 36 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 481580273664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481580273663) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11199541227 + ... + 11199541269.

Almost surely, 2^481580273664 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 481580273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946622730240).

481580273664 is an abundant number, since it is smaller than the sum of its proper divisors (1411665186816).

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

481580273664 is a wasteful number, since it uses less digits than its factorization.

481580273664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 481580273664 in words is "four hundred eighty-one billion, five hundred eighty million, two hundred seventy-three thousand, six hundred sixty-four".