10647430976 has 112 divisors (see below), whose sum is σ = 27373234560. Its totient is φ = 3990435840.

The previous prime is 10647430943. The next prime is 10647430991. The reversal of 10647430976 is 67903474601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10647430976² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10647430976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62546 + ... + 158766.

It is an arithmetic number, because the mean of its divisors is an integer number (244403880).

Almost surely, 2^10647430976 is an apocalyptic number.

10647430976 is a gapful number since it is divisible by the number (16) 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 10647430976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13686617280).

10647430976 is an abundant number, since it is smaller than the sum of its proper divisors (16725803584).

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

10647430976 is a wasteful number, since it uses less digits than its factorization.

10647430976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96272 (or 96262 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 47.

The spelling of 10647430976 in words is "ten billion, six hundred forty-seven million, four hundred thirty thousand, nine hundred seventy-six".