32640990769920 has 576 divisors, whose sum is σ = 114068916057600. Its totient is φ = 7906549432320.

The previous prime is 32640990769909. The next prime is 32640990769943. The reversal of 32640990769920 is 2996709904623.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 937430271 + ... + 937465089.

It is an arithmetic number, because the mean of its divisors is an integer number (198036312600).

Almost surely, 2^{32640990769920} is an apocalyptic number.

32640990769920 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 32640990769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57034458028800).

32640990769920 is an abundant number, since it is smaller than the sum of its proper divisors (81427925287680).

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

32640990769920 is a wasteful number, since it uses less digits than its factorization.

32640990769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35156 (or 35142 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 66.

The spelling of 32640990769920 in words is "thirty-two trillion, six hundred forty billion, nine hundred ninety million, seven hundred sixty-nine thousand, nine hundred twenty".