10287736704 has 192 divisors, whose sum is σ = 34152243840. Its totient is φ = 2911638528.

The previous prime is 10287736691. The next prime is 10287736709. The reversal of 10287736704 is 40763778201.

10287736704 is a `hidden beast` number, since 1 + 0 + 287 + 7 + 367 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 10287736704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10287736709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856887 + ... + 868809.

It is an arithmetic number, because the mean of its divisors is an integer number (177876270).

Almost surely, 2^10287736704 is an apocalyptic number.

10287736704 is a gapful number since it is divisible by the number (14) 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 10287736704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17076121920).

10287736704 is an abundant number, since it is smaller than the sum of its proper divisors (23864507136).

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

10287736704 is a wasteful number, since it uses less digits than its factorization.

10287736704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12057 (or 12042 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 10287736704 in words is "ten billion, two hundred eighty-seven million, seven hundred thirty-six thousand, seven hundred four".