642263580 has 504 divisors, whose sum is σ = 2511976320. Its totient is φ = 137168640.

The previous prime is 642263561. The next prime is 642263581. The reversal of 642263580 is 85362246.

642263580 is a `hidden beast` number, since 642 + 2 + 6 + 3 + 5 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642263581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 20718165 + ... + 20718195.

It is an arithmetic number, because the mean of its divisors is an integer number (4984080).

Almost surely, 2^642263580 is an apocalyptic number.

642263580 is a gapful number since it is divisible by the number (60) 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 642263580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255988160).

642263580 is an abundant number, since it is smaller than the sum of its proper divisors (1869712740).

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

642263580 is a wasteful number, since it uses less digits than its factorization.

642263580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 642263580 is about 25342.9197212949. The cubic root of 642263580 is about 862.7886670814.

The spelling of 642263580 in words is "six hundred forty-two million, two hundred sixty-three thousand, five hundred eighty".