220926320784 has 405 divisors, whose sum is σ = 705263825721. Its totient is φ = 64525443840.

The previous prime is 220926320773. The next prime is 220926320801. The reversal of 220926320784 is 487023629022.

The square root of 220926320784 is 470028.

It is a perfect power (a square), and thus also a powerful number.

220926320784 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 2 + 632 + 0 + 7 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32681408400 + 188244912384 = 180780^2 + 433872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1686460399 + ... + 1686460529.

Almost surely, 2^220926320784 is an apocalyptic number.

220926320784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

220926320784 is the 470028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220926320784

220926320784 is an abundant number, since it is smaller than the sum of its proper divisors (484337504937).

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

220926320784 is a wasteful number, since it uses less digits than its factorization.

220926320784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 220926320784 in words is "two hundred twenty billion, nine hundred twenty-six million, three hundred twenty thousand, seven hundred eighty-four".