906551274240 has 504 divisors, whose sum is σ = 3427141809840. Its totient is φ = 229019000832.

The previous prime is 906551274199. The next prime is 906551274241. The reversal of 906551274240 is 42472155609.

906551274240 is a `hidden beast` number, since 9 + 0 + 6 + 551 + 2 + 74 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (906551274241) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17703714 + ... + 17754846.

Almost surely, 2^906551274240 is an apocalyptic number.

906551274240 is a gapful number since it is divisible by the number (90) 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 906551274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713570904920).

906551274240 is an abundant number, since it is smaller than the sum of its proper divisors (2520590535600).

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

906551274240 is an equidigital number, since it uses as much as digits as its factorization.

906551274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51191 (or 51162 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 906551274240 in words is "nine hundred six billion, five hundred fifty-one million, two hundred seventy-four thousand, two hundred forty".