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1664707968 = 27327311383
BaseRepresentation
bin110001100111001…
…0110110110000000
311022000102221000200
41203032112312000
511402131123333
6433104245200
756152533000
oct14316266600
94260387020
101664707968
11784758810
123a5610800
13206b70901
1411b13a000
159b231c13
hex63396d80

1664707968 has 384 divisors, whose sum is σ = 6110208000. Its totient is φ = 431262720.

The previous prime is 1664707927. The next prime is 1664707969. The reversal of 1664707968 is 8697074661.

It is a happy number.

1664707968 is a `hidden beast` number, since 166 + 470 + 7 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1664707969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4346305 + ... + 4346687.

It is an arithmetic number, because the mean of its divisors is an integer number (15912000).

Almost surely, 21664707968 is an apocalyptic number.

1664707968 is a gapful number since it is divisible by the number (18) 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 1664707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055104000).

1664707968 is an abundant number, since it is smaller than the sum of its proper divisors (4445500032).

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

1664707968 is a wasteful number, since it uses less digits than its factorization.

1664707968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 1664707968 is about 40800.8329326743. The cubic root of 1664707968 is about 1185.1664606193.

The spelling of 1664707968 in words is "one billion, six hundred sixty-four million, seven hundred seven thousand, nine hundred sixty-eight".