1774138464 has 240 divisors, whose sum is σ = 6001557408. Its totient is φ = 503635968.

The previous prime is 1774138451. The next prime is 1774138489. The reversal of 1774138464 is 4648314771.

1774138464 is a `hidden beast` number, since 177 + 4 + 13 + 8 + 464 = 666.

1774138464 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5025712 + ... + 5026064.

Almost surely, 2^1774138464 is an apocalyptic number.

1774138464 is a gapful number since it is divisible by the number (14) 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 1774138464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000778704).

1774138464 is an abundant number, since it is smaller than the sum of its proper divisors (4227418944).

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

1774138464 is a wasteful number, since it uses less digits than its factorization.

1774138464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 642 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 1774138464 is about 42120.5230736751. The cubic root of 1774138464 is about 1210.5865298399.

The spelling of 1774138464 in words is "one billion, seven hundred seventy-four million, one hundred thirty-eight thousand, four hundred sixty-four".