32351768064 has 720 divisors, whose sum is σ = 122030772864. Its totient is φ = 8375685120.

The previous prime is 32351768063. The next prime is 32351768093. The reversal of 32351768064 is 46086715323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32351768063) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105380199 + ... + 105380505.

Almost surely, 2^32351768064 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 32351768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61015386432).

32351768064 is an abundant number, since it is smaller than the sum of its proper divisors (89679004800).

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

32351768064 is an equidigital number, since it uses as much as digits as its factorization.

32351768064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 32351768064 in words is "thirty-two billion, three hundred fifty-one million, seven hundred sixty-eight thousand, sixty-four".