64042686720 has 864 divisors, whose sum is σ = 247407068160. Its totient is φ = 15668674560.

The previous prime is 64042686691. The next prime is 64042686727. The reversal of 64042686720 is 2768624046.

64042686720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (64042686727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 566749384 + ... + 566749496.

Almost surely, 2^64042686720 is an apocalyptic number.

64042686720 is a gapful number since it is divisible by the number (60) 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 64042686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123703534080).

64042686720 is an abundant number, since it is smaller than the sum of its proper divisors (183364381440).

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

64042686720 is a wasteful number, since it uses less digits than its factorization.

64042686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 64042686720 in words is "sixty-four billion, forty-two million, six hundred eighty-six thousand, seven hundred twenty".