1768738224 has 80 divisors (see below), whose sum is σ = 4990752000. Its totient is φ = 535322880.

The previous prime is 1768738219. The next prime is 1768738229. The reversal of 1768738224 is 4228378671.

1768738224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1768738219) and next prime (1768738229).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1768738229) 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, 588277 + ... + 591275.

It is an arithmetic number, because the mean of its divisors is an integer number (62384400).

Almost surely, 2^1768738224 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 1768738224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495376000).

1768738224 is an abundant number, since it is smaller than the sum of its proper divisors (3222013776).

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

1768738224 is a wasteful number, since it uses less digits than its factorization.

1768738224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4138 (or 4132 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 1768738224 is about 42056.3696008108. The cubic root of 1768738224 is about 1209.3569936973.

The spelling of 1768738224 in words is "one billion, seven hundred sixty-eight million, seven hundred thirty-eight thousand, two hundred twenty-four".