10728672696 has 384 divisors, whose sum is σ = 37691136000. Its totient is φ = 2808691200.

The previous prime is 10728672673. The next prime is 10728672697. The reversal of 10728672696 is 69627682701.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10728672697) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6233116 + ... + 6234836.

It is an arithmetic number, because the mean of its divisors is an integer number (98154000).

Almost surely, 2^10728672696 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 10728672696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18845568000).

10728672696 is an abundant number, since it is smaller than the sum of its proper divisors (26962463304).

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

10728672696 is a wasteful number, since it uses less digits than its factorization.

10728672696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

It can be divided in two parts, 1072 and 8672696, that added together give a palindrome (8673768).

The spelling of 10728672696 in words is "ten billion, seven hundred twenty-eight million, six hundred seventy-two thousand, six hundred ninety-six".