1768732416 has 288 divisors, whose sum is σ = 5849437440. Its totient is φ = 522547200.

The previous prime is 1768732409. The next prime is 1768732421. The reversal of 1768732416 is 6142378671.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3269106 + ... + 3269646.

Almost surely, 2^1768732416 is an apocalyptic number.

1768732416 is a gapful number since it is divisible by the number (16) 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 1768732416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924718720).

1768732416 is an abundant number, since it is smaller than the sum of its proper divisors (4080705024).

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

1768732416 is a wasteful number, since it uses less digits than its factorization.

1768732416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 600 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 1768732416 is about 42056.3005505715. The cubic root of 1768732416 is about 1209.3556699753.

The spelling of 1768732416 in words is "one billion, seven hundred sixty-eight million, seven hundred thirty-two thousand, four hundred sixteen".