32116836960 has 960 divisors, whose sum is σ = 131139993600. Its totient is φ = 7336562688.

The previous prime is 32116836949. The next prime is 32116837003. The reversal of 32116836960 is 6963861123.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 252888417 + ... + 252888543.

It is an arithmetic number, because the mean of its divisors is an integer number (136604160).

Almost surely, 2^32116836960 is an apocalyptic number.

32116836960 is a gapful number since it is divisible by the number (30) 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 32116836960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65569996800).

32116836960 is an abundant number, since it is smaller than the sum of its proper divisors (99023156640).

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

32116836960 is a wasteful number, since it uses less digits than its factorization.

32116836960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 32116836960 in words is "thirty-two billion, one hundred sixteen million, eight hundred thirty-six thousand, nine hundred sixty".