10340646624 has 480 divisors, whose sum is σ = 38253067776. Its totient is φ = 2662087680.

The previous prime is 10340646607. The next prime is 10340646629. The reversal of 10340646624 is 42664604301.

10340646624 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 0 + 646 + 6 + 2 + 4 = 666.

10340646624 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10340646629) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 39317917 + ... + 39318179.

Almost surely, 2^10340646624 is an apocalyptic number.

10340646624 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 10340646624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19126533888).

10340646624 is an abundant number, since it is smaller than the sum of its proper divisors (27912421152).

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

10340646624 is a wasteful number, since it uses less digits than its factorization.

10340646624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 10340646624 in words is "ten billion, three hundred forty million, six hundred forty-six thousand, six hundred twenty-four".