906735098880 has 704 divisors, whose sum is σ = 3513654211200. Its totient is φ = 223160500224.

The previous prime is 906735098813. The next prime is 906735098911. The reversal of 906735098880 is 88890537609.

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 63 ways as a sum of consecutive naturals, for example, 145563606 + ... + 145569834.

Almost surely, 2^906735098880 is an apocalyptic number.

906735098880 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 906735098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756827105600).

906735098880 is an abundant number, since it is smaller than the sum of its proper divisors (2606919112320).

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

906735098880 is an equidigital number, since it uses as much as digits as its factorization.

906735098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288 (or 6252 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 906735098880 in words is "nine hundred six billion, seven hundred thirty-five million, ninety-eight thousand, eight hundred eighty".