906482783520 has 72 divisors (see below), whose sum is σ = 3093372503676. Its totient is φ = 241728741888.

The previous prime is 906482783519. The next prime is 906482783527. The reversal of 906482783520 is 25387284609.

906482783520 is a `hidden beast` number, since 9 + 0 + 6 + 48 + 2 + 78 + 3 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 904378176144 + 2104607376 = 950988^2 + 45876^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×906482783520² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (906482783527) 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 11 ways as a sum of consecutive naturals, for example, 314749527 + ... + 314752406.

Almost surely, 2^906482783520 is an apocalyptic number.

906482783520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

906482783520 is an abundant number, since it is smaller than the sum of its proper divisors (2186889720156).

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

906482783520 is a wasteful number, since it uses less digits than its factorization.

906482783520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629501954 (or 629501943 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 906482783520 in words is "nine hundred six billion, four hundred eighty-two million, seven hundred eighty-three thousand, five hundred twenty".