1480610664 has 224 divisors, whose sum is σ = 4572237600. Its totient is φ = 446497920.

The previous prime is 1480610657. The next prime is 1480610687. The reversal of 1480610664 is 4660160841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4472979 + ... + 4473309.

It is an arithmetic number, because the mean of its divisors is an integer number (20411775).

Almost surely, 2^1480610664 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 1480610664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286118800).

1480610664 is an abundant number, since it is smaller than the sum of its proper divisors (3091626936).

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

1480610664 is a wasteful number, since it uses less digits than its factorization.

1480610664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1480610664 is about 38478.7040322306. The cubic root of 1480610664 is about 1139.7605591306.

The spelling of 1480610664 in words is "one billion, four hundred eighty million, six hundred ten thousand, six hundred sixty-four".