900643236096 has 288 divisors, whose sum is σ = 2757810585600. Its totient is φ = 259046277120.

The previous prime is 900643236089. The next prime is 900643236131. The reversal of 900643236096 is 690632346009.

It is a super-3 number, since 3×900643236096³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7631425 + ... + 7748543.

It is an arithmetic number, because the mean of its divisors is an integer number (9575731200).

Almost surely, 2^900643236096 is an apocalyptic number.

900643236096 is a gapful number since it is divisible by the number (96) 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 900643236096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378905292800).

900643236096 is an abundant number, since it is smaller than the sum of its proper divisors (1857167349504).

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

900643236096 is a wasteful number, since it uses less digits than its factorization.

900643236096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117205 (or 117191 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 48.

The spelling of 900643236096 in words is "nine hundred billion, six hundred forty-three million, two hundred thirty-six thousand, ninety-six".