10002968640 has 1344 divisors, whose sum is σ = 46012022784. Its totient is φ = 2014543872.

The previous prime is 10002968597. The next prime is 10002968641. The reversal of 10002968640 is 4686920001.

10002968640 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 9 + 6 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×10002968640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10002968595 and 10002968604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002968641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 212829097 + ... + 212829143.

It is an arithmetic number, because the mean of its divisors is an integer number (34235136).

Almost surely, 2^10002968640 is an apocalyptic number.

10002968640 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 10002968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23006011392).

10002968640 is an abundant number, since it is smaller than the sum of its proper divisors (36009054144).

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

10002968640 is a wasteful number, since it uses less digits than its factorization.

10002968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10002968640 in words is "ten billion, two million, nine hundred sixty-eight thousand, six hundred forty".