10630947600 has 960 divisors, whose sum is σ = 48305241600. Its totient is φ = 2159861760.

The previous prime is 10630947581. The next prime is 10630947611. The reversal of 10630947600 is 674903601.

10630947600 = T₁₅₂₄₀ + T₁₅₂₄₁ + ... + T₁₅₃₃₀.

10630947600 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 0 + 9 + 47 + 600 = 666.

It is a super-2 number, since 2×10630947600² (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, 28501014 + ... + 28501386.

It is an arithmetic number, because the mean of its divisors is an integer number (50317960).

Almost surely, 2^10630947600 is an apocalyptic number.

10630947600 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 10630947600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24152620800).

10630947600 is an abundant number, since it is smaller than the sum of its proper divisors (37674294000).

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

10630947600 is a wasteful number, since it uses less digits than its factorization.

10630947600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 10630947600 in words is "ten billion, six hundred thirty million, nine hundred forty-seven thousand, six hundred".