64006357968 has 120 divisors (see below), whose sum is σ = 211778112000. Its totient is φ = 17656918272.

The previous prime is 64006357963. The next prime is 64006357973. The reversal of 64006357968 is 86975360046.

64006357968 is a `hidden beast` number, since 6 + 4 + 0 + 0 + 6 + 3 + 579 + 68 = 666.

64006357968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64006357963) and next prime (64006357973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64006357963) 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, 1065568 + ... + 1124031.

It is an arithmetic number, because the mean of its divisors is an integer number (1764817600).

Almost surely, 2^64006357968 is an apocalyptic number.

It is an amenable number.

64006357968 is an abundant number, since it is smaller than the sum of its proper divisors (147771754032).

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

64006357968 is a wasteful number, since it uses less digits than its factorization.

64006357968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189649 (or 2189640 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 64006357968 in words is "sixty-four billion, six million, three hundred fifty-seven thousand, nine hundred sixty-eight".