472769090560 has 440 divisors, whose sum is σ = 1272298127976. Its totient is φ = 168459632640.

The previous prime is 472769090543. The next prime is 472769090567. The reversal of 472769090560 is 65090967274.

It can be written as a sum of positive squares in 20 ways, for example, as 300935627776 + 171833462784 = 548576^2 + 414528^2 .

It is a super-2 number, since 2×472769090560² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472769090567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7750312930 + ... + 7750312990.

Almost surely, 2^472769090560 is an apocalyptic number.

472769090560 is a gapful number since it is divisible by the number (40) 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 472769090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636149063988).

472769090560 is an abundant number, since it is smaller than the sum of its proper divisors (799529037416).

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

472769090560 is an frugal number, since it uses more digits than its factorization.

472769090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 55.

The spelling of 472769090560 in words is "four hundred seventy-two billion, seven hundred sixty-nine million, ninety thousand, five hundred sixty".