10684776960 has 1280 divisors, whose sum is σ = 47516958720. Its totient is φ = 2238382080.

The previous prime is 10684776953. The next prime is 10684776979. The reversal of 10684776960 is 6967748601.

It is a happy number.

10684776960 is a `hidden beast` number, since 106 + 8 + 477 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-3 number, since 3×10684776960³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 10684776897 and 10684776906.

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, 227335657 + ... + 227335703.

It is an arithmetic number, because the mean of its divisors is an integer number (37122624).

Almost surely, 2^10684776960 is an apocalyptic number.

10684776960 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 10684776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23758479360).

10684776960 is an abundant number, since it is smaller than the sum of its proper divisors (36832181760).

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

10684776960 is a wasteful number, since it uses less digits than its factorization.

10684776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 10684776960 in words is "ten billion, six hundred eighty-four million, seven hundred seventy-six thousand, nine hundred sixty".