904729863648 has 384 divisors, whose sum is σ = 2757039368832. Its totient is φ = 257295384576.

The previous prime is 904729863607. The next prime is 904729863673. The reversal of 904729863648 is 846368927409.

It is a super-2 number, since 2×904729863648² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 398032240 + ... + 398034512.

It is an arithmetic number, because the mean of its divisors is an integer number (7179790023).

Almost surely, 2^904729863648 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 904729863648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378519684416).

904729863648 is an abundant number, since it is smaller than the sum of its proper divisors (1852309505184).

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

904729863648 is a wasteful number, since it uses less digits than its factorization.

904729863648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 66.

The spelling of 904729863648 in words is "nine hundred four billion, seven hundred twenty-nine million, eight hundred sixty-three thousand, six hundred forty-eight".