10729884672 has 528 divisors, whose sum is σ = 36051305472. Its totient is φ = 3165143040.

The previous prime is 10729884661. The next prime is 10729884691. The reversal of 10729884672 is 27648892701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100279243 + ... + 100279349.

Almost surely, 2^10729884672 is an apocalyptic number.

10729884672 is a gapful number since it is divisible by the number (12) 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 10729884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18025652736).

10729884672 is an abundant number, since it is smaller than the sum of its proper divisors (25321420800).

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

10729884672 is a wasteful number, since it uses less digits than its factorization.

10729884672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 10729884672 in words is "ten billion, seven hundred twenty-nine million, eight hundred eighty-four thousand, six hundred seventy-two".