1665768672 has 96 divisors (see below), whose sum is σ = 4872268800. Its totient is φ = 553682304.

The previous prime is 1665768661. The next prime is 1665768679. The reversal of 1665768672 is 2768675661.

1665768672 is a `hidden beast` number, since 1 + 6 + 6 + 576 + 8 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1665768679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324913 + ... + 329999.

It is an arithmetic number, because the mean of its divisors is an integer number (50752800).

Almost surely, 2^1665768672 is an apocalyptic number.

1665768672 is a gapful number since it is divisible by the number (12) 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 1665768672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436134400).

1665768672 is an abundant number, since it is smaller than the sum of its proper divisors (3206500128).

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

1665768672 is a wasteful number, since it uses less digits than its factorization.

1665768672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5485 (or 5471 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 1665768672 is about 40813.8294209206. The cubic root of 1665768672 is about 1185.4181251606.

The spelling of 1665768672 in words is "one billion, six hundred sixty-five million, seven hundred sixty-eight thousand, six hundred seventy-two".