10027763680 has 144 divisors (see below), whose sum is σ = 26745768000. Its totient is φ = 3547653120.

The previous prime is 10027763609. The next prime is 10027763737. The reversal of 10027763680 is 8636772001.

10027763680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709321 + ... + 723319.

It is an arithmetic number, because the mean of its divisors is an integer number (185734500).

Almost surely, 2^10027763680 is an apocalyptic number.

10027763680 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 10027763680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13372884000).

10027763680 is an abundant number, since it is smaller than the sum of its proper divisors (16718004320).

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

10027763680 is a wasteful number, since it uses less digits than its factorization.

10027763680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14073 (or 14054 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 10027763680 in words is "ten billion, twenty-seven million, seven hundred sixty-three thousand, six hundred eighty".