10630841760 has 1152 divisors, whose sum is σ = 48502831104. Its totient is φ = 2134978560.

The previous prime is 10630841731. The next prime is 10630841777. The reversal of 10630841760 is 6714803601.

10630841760 is a `hidden beast` number, since 1 + 0 + 630 + 8 + 4 + 17 + 6 + 0 = 666.

It is a super-2 number, since 2×10630841760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158669247 + ... + 158669313.

It is an arithmetic number, because the mean of its divisors is an integer number (42103152).

Almost surely, 2^10630841760 is an apocalyptic number.

10630841760 is a gapful number since it is divisible by the number (10) 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 10630841760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24251415552).

10630841760 is an abundant number, since it is smaller than the sum of its proper divisors (37871989344).

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

10630841760 is a wasteful number, since it uses less digits than its factorization.

10630841760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10630841760 in words is "ten billion, six hundred thirty million, eight hundred forty-one thousand, seven hundred sixty".