900948821760 has 1152 divisors, whose sum is σ = 3671821977600. Its totient is φ = 209938563072.

The previous prime is 900948821743. The next prime is 900948821803. The reversal of 900948821760 is 67128849009.

900948821760 is a `hidden beast` number, since 90 + 0 + 9 + 488 + 2 + 1 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 900948821697 and 900948821706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 691441269 + ... + 691442571.

Almost surely, 2^900948821760 is an apocalyptic number.

900948821760 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 900948821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835910988800).

900948821760 is an abundant number, since it is smaller than the sum of its proper divisors (2770873155840).

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

900948821760 is a wasteful number, since it uses less digits than its factorization.

900948821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 900948821760 in words is "nine hundred billion, nine hundred forty-eight million, eight hundred twenty-one thousand, seven hundred sixty".