1664177130 has 384 divisors, whose sum is σ = 5883494400. Its totient is φ = 326747520.

The previous prime is 1664177129. The next prime is 1664177153. The reversal of 1664177130 is 317714661.

1664177130 is a `hidden beast` number, since 1 + 6 + 641 + 7 + 7 + 1 + 3 + 0 = 666.

1664177130 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4344919 + ... + 4345301.

It is an arithmetic number, because the mean of its divisors is an integer number (15321600).

Almost surely, 2^1664177130 is an apocalyptic number.

1664177130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1664177130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941747200).

1664177130 is an abundant number, since it is smaller than the sum of its proper divisors (4219317270).

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

1664177130 is a wasteful number, since it uses less digits than its factorization.

1664177130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1664177130 is about 40794.3271791557. The cubic root of 1664177130 is about 1185.0404729006.

It can be divided in two parts, 16 and 64177130, that added together give a palindrome (64177146).

The spelling of 1664177130 in words is "one billion, six hundred sixty-four million, one hundred seventy-seven thousand, one hundred thirty".