1664952480 has 72 divisors (see below), whose sum is σ = 5681655252. Its totient is φ = 443986944.

The previous prime is 1664952473. The next prime is 1664952493. The reversal of 1664952480 is 842594661.

1664952480 is a `hidden beast` number, since 1 + 6 + 6 + 49 + 524 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1590095376 + 74857104 = 39876^2 + 8652^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 576669 + ... + 579548.

Almost surely, 2^1664952480 is an apocalyptic number.

1664952480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1664952480 is an abundant number, since it is smaller than the sum of its proper divisors (4016702772).

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

1664952480 is a wasteful number, since it uses less digits than its factorization.

1664952480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156238 (or 1156227 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1664952480 is about 40803.8292320709. The cubic root of 1664952480 is about 1185.2244834558.

The spelling of 1664952480 in words is "one billion, six hundred sixty-four million, nine hundred fifty-two thousand, four hundred eighty".