32070849664 has 192 divisors, whose sum is σ = 81642513600. Its totient is φ = 12454041600.

The previous prime is 32070849661. The next prime is 32070849689. The reversal of 32070849664 is 46694807023.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (32070849661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2735014 + ... + 2746714.

It is an arithmetic number, because the mean of its divisors is an integer number (425221425).

Almost surely, 2^32070849664 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 32070849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40821256800).

32070849664 is an abundant number, since it is smaller than the sum of its proper divisors (49571663936).

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

32070849664 is a wasteful number, since it uses less digits than its factorization.

32070849664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11771 (or 11752 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 32070849664 in words is "thirty-two billion, seventy million, eight hundred forty-nine thousand, six hundred sixty-four".