64035820768192 has 224 divisors, whose sum is σ = 161527971128832. Its totient is φ = 24512456134656.

The previous prime is 64035820768187. The next prime is 64035820768217. The reversal of 64035820768192 is 29186702853046.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 64035820768192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25601358 + ... + 27991090.

It is an arithmetic number, because the mean of its divisors is an integer number (721107013968).

It is a 1-persistent number, because it is pandigital, but 2⋅64035820768192 = 128071641536384 is not.

Almost surely, 2^{64035820768192} 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 64035820768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80763985564416).

64035820768192 is an abundant number, since it is smaller than the sum of its proper divisors (97492150360640).

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

64035820768192 is a wasteful number, since it uses less digits than its factorization.

64035820768192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389915 (or 2389905 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 64035820768192 in words is "sixty-four trillion, thirty-five billion, eight hundred twenty million, seven hundred sixty-eight thousand, one hundred ninety-two".