427336764100 has 27 divisors (see below), whose sum is σ = 927334963821. Its totient is φ = 170932090800.

The previous prime is 427336764079. The next prime is 427336764109. The reversal of 427336764100 is 1467633724.

The square root of 427336764100 is 653710.

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

It can be written as a sum of positive squares in only one way, i.e., 153841235076 + 273495529024 = 392226^2 + 522968^2 .

It is a super-3 number, since 3×427336764100³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (427336764109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6504415 + ... + 6569785.

Almost surely, 2^427336764100 is an apocalyptic number.

427336764100 is the 653710-th square number.

It is an amenable number.

427336764100 is an abundant number, since it is smaller than the sum of its proper divisors (499998199721).

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

427336764100 is an frugal number, since it uses more digits than its factorization.

427336764100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130756 (or 65378 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 43.

The spelling of 427336764100 in words is "four hundred twenty-seven billion, three hundred thirty-six million, seven hundred sixty-four thousand, one hundred".