1476732768 has 96 divisors (see below), whose sum is σ = 4491035136. Its totient is φ = 416130048.

The previous prime is 1476732749. The next prime is 1476732769. The reversal of 1476732768 is 8672376741.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1476732768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1476732769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34005 + ... + 64107.

It is an arithmetic number, because the mean of its divisors is an integer number (46781616).

Almost surely, 2^1476732768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1476732768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245517568).

1476732768 is an abundant number, since it is smaller than the sum of its proper divisors (3014302368).

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

1476732768 is a wasteful number, since it uses less digits than its factorization.

1476732768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30196 (or 30188 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 51.

The square root of 1476732768 is about 38428.2808358636. The cubic root of 1476732768 is about 1138.7646328393.

The spelling of 1476732768 in words is "one billion, four hundred seventy-six million, seven hundred thirty-two thousand, seven hundred sixty-eight".