1664342460 has 144 divisors (see below), whose sum is σ = 5520060000. Its totient is φ = 402554880.

The previous prime is 1664342447. The next prime is 1664342489. The reversal of 1664342460 is 642434661.

1664342460 is a `hidden beast` number, since 1 + 6 + 643 + 4 + 2 + 4 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1331916 + ... + 1333164.

It is an arithmetic number, because the mean of its divisors is an integer number (38333750).

Almost surely, 2^1664342460 is an apocalyptic number.

1664342460 is a gapful number since it is divisible by the number (10) 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 1664342460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760030000).

1664342460 is an abundant number, since it is smaller than the sum of its proper divisors (3855717540).

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

1664342460 is a wasteful number, since it uses less digits than its factorization.

1664342460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 1664342460 is about 40796.3535135188. The cubic root of 1664342460 is about 1185.0797147678.

The spelling of 1664342460 in words is "one billion, six hundred sixty-four million, three hundred forty-two thousand, four hundred sixty".