10629986432 has 72 divisors (see below), whose sum is σ = 22963986495. Its totient is φ = 4899148800.

The previous prime is 10629986417. The next prime is 10629986473. The reversal of 10629986432 is 23468992601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 5472448576 + 5157537856 = 73976^2 + 71816^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=72904.

It is a super-2 number, since 2×10629986432² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15163682 + ... + 15164382.

Almost surely, 2^10629986432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10629986432

10629986432 is an abundant number, since it is smaller than the sum of its proper divisors (12334000063).

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

10629986432 is an frugal number, since it uses more digits than its factorization.

10629986432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

Multiplying 10629986432 by its sum of digits (50), we get a square (531499321600 = 729040²).

The spelling of 10629986432 in words is "ten billion, six hundred twenty-nine million, nine hundred eighty-six thousand, four hundred thirty-two".