905993934720 has 1024 divisors, whose sum is σ = 3573371842560. Its totient is φ = 190749081600.

The previous prime is 905993934709. The next prime is 905993934731. The reversal of 905993934720 is 27439399509.

It is an interprime number because it is at equal distance from previous prime (905993934709) and next prime (905993934731).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1292430370 + ... + 1292431070.

It is an arithmetic number, because the mean of its divisors is an integer number (3489620940).

Almost surely, 2^905993934720 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 905993934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786685921280).

905993934720 is an abundant number, since it is smaller than the sum of its proper divisors (2667377907840).

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

905993934720 is a wasteful number, since it uses less digits than its factorization.

905993934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 60.

The spelling of 905993934720 in words is "nine hundred five billion, nine hundred ninety-three million, nine hundred thirty-four thousand, seven hundred twenty".