906273865728 has 720 divisors, whose sum is σ = 3436665872640. Its totient is φ = 222953472000.

The previous prime is 906273865723. The next prime is 906273865799. The reversal of 906273865728 is 827568372609.

906273865728 is a `hidden beast` number, since 9 + 0 + 6 + 27 + 38 + 6 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906273865723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215726028 + ... + 215730228.

Almost surely, 2^906273865728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906273865728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718332936320).

906273865728 is an abundant number, since it is smaller than the sum of its proper divisors (2530392006912).

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

906273865728 is a wasteful number, since it uses less digits than its factorization.

906273865728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 906273865728 in words is "nine hundred six billion, two hundred seventy-three million, eight hundred sixty-five thousand, seven hundred twenty-eight".