1772556864 has 112 divisors (see below), whose sum is σ = 5098621248. Its totient is φ = 540223488.

The previous prime is 1772556809. The next prime is 1772556869. The reversal of 1772556864 is 4686552771.

It is a super-2 number, since 2×1772556864² = 6283915672227028992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1772556869) 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, 263754 + ... + 270390.

It is an arithmetic number, because the mean of its divisors is an integer number (45523404).

Almost surely, 2^1772556864 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 1772556864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549310624).

1772556864 is an abundant number, since it is smaller than the sum of its proper divisors (3326064384).

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

1772556864 is a wasteful number, since it uses less digits than its factorization.

1772556864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6772 (or 6762 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 51.

The square root of 1772556864 is about 42101.7441918978. The cubic root of 1772556864 is about 1210.2266870326.

The spelling of 1772556864 in words is "one billion, seven hundred seventy-two million, five hundred fifty-six thousand, eight hundred sixty-four".