10264786560 has 672 divisors, whose sum is σ = 42894238500. Its totient is φ = 2341011456.

The previous prime is 10264786549. The next prime is 10264786561. The reversal of 10264786560 is 6568746201.

10264786560 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 4 + 7 + 86 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10262500416 + 2286144 = 101304^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10264786561) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 22861216 + ... + 22861664.

Almost surely, 2^10264786560 is an apocalyptic number.

10264786560 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 10264786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21447119250).

10264786560 is an abundant number, since it is smaller than the sum of its proper divisors (32629451940).

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

10264786560 is an frugal number, since it uses more digits than its factorization.

10264786560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10264786560 in words is "ten billion, two hundred sixty-four million, seven hundred eighty-six thousand, five hundred sixty".