10629966402 has 144 divisors (see below), whose sum is σ = 26267963904. Its totient is φ = 3101155200.

The previous prime is 10629966379. The next prime is 10629966407. The reversal of 10629966402 is 20466992601.

10629966402 is a `hidden beast` number, since 10 + 629 + 9 + 6 + 6 + 4 + 0 + 2 = 666.

It is a super-2 number, since 2×10629966402² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10629966407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21132883 + ... + 21133385.

It is an arithmetic number, because the mean of its divisors is an integer number (182416416).

Almost surely, 2^10629966402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10629966402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13133981952).

10629966402 is an abundant number, since it is smaller than the sum of its proper divisors (15637997502).

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

10629966402 is a wasteful number, since it uses less digits than its factorization.

10629966402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 10629966402 in words is "ten billion, six hundred twenty-nine million, nine hundred sixty-six thousand, four hundred two".