32869760000 has 880 divisors, whose sum is σ = 110502627840. Its totient is φ = 9461760000.

The previous prime is 32869759997. The next prime is 32869760047. The reversal of 32869760000 is 6796823.

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-2 number, since 2×32869760000² (a number of 22 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 32869760000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1133439986 + ... + 1133440014.

It is an arithmetic number, because the mean of its divisors is an integer number (125571168).

Almost surely, 2^32869760000 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 32869760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55251313920).

32869760000 is an abundant number, since it is smaller than the sum of its proper divisors (77632867840).

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

32869760000 is a wasteful number, since it uses less digits than its factorization.

32869760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 32869760000 in words is "thirty-two billion, eight hundred sixty-nine million, seven hundred sixty thousand".