10420756864 has 64 divisors (see below), whose sum is σ = 23810839200. Its totient is φ = 4450037760.

The previous prime is 10420756811. The next prime is 10420756909. The reversal of 10420756864 is 46865702401.

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

It is a super-2 number, since 2×10420756864² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10420756864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231082 + ... + 272470.

Almost surely, 2^10420756864 is an apocalyptic number.

10420756864 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 10420756864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11905419600).

10420756864 is an abundant number, since it is smaller than the sum of its proper divisors (13390082336).

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

10420756864 is an equidigital number, since it uses as much as digits as its factorization.

10420756864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41691 (or 41679 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 10420756864 in words is "ten billion, four hundred twenty million, seven hundred fifty-six thousand, eight hundred sixty-four".