10425760640 has 64 divisors (see below), whose sum is σ = 24945474960. Its totient is φ = 4166725632.

The previous prime is 10425760637. The next prime is 10425760651. The reversal of 10425760640 is 4606752401.

10425760640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 10425760640.

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 7 ways as a sum of consecutive naturals, for example, 814772 + ... + 827468.

Almost surely, 2^10425760640 is an apocalyptic number.

10425760640 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 10425760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12472737480).

10425760640 is an abundant number, since it is smaller than the sum of its proper divisors (14519714320).

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

10425760640 is a wasteful number, since it uses less digits than its factorization.

10425760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13999 (or 13987 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 10425760640 in words is "ten billion, four hundred twenty-five million, seven hundred sixty thousand, six hundred forty".