1772738464 has 72 divisors (see below), whose sum is σ = 4078442340. Its totient is φ = 756274176.

The previous prime is 1772738447. The next prime is 1772738467. The reversal of 1772738464 is 4648372771.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1682640400 + 90098064 = 41020^2 + 9492^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (1772738467) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356604 + ... + 361540.

Almost surely, 2^1772738464 is an apocalyptic number.

1772738464 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 1772738464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039221170).

1772738464 is an abundant number, since it is smaller than the sum of its proper divisors (2305703876).

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

1772738464 is a wasteful number, since it uses less digits than its factorization.

1772738464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5175 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 49.

The square root of 1772738464 is about 42103.9008169077. The cubic root of 1772738464 is about 1210.2680152153.

The spelling of 1772738464 in words is "one billion, seven hundred seventy-two million, seven hundred thirty-eight thousand, four hundred sixty-four".