64058418355968 has 576 divisors, whose sum is σ = 202608187084800. Its totient is φ = 19919638609920.

The previous prime is 64058418355907. The next prime is 64058418356003. The reversal of 64058418355968 is 86955381485046.

64058418355968 is a `hidden beast` number, since 6 + 4 + 0 + 5 + 8 + 4 + 1 + 8 + 3 + 559 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×64058418355968² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 64058418355896 and 64058418355905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4057660971 + ... + 4057676757.

It is an arithmetic number, because the mean of its divisors is an integer number (351750324800).

Almost surely, 2^{64058418355968} 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 64058418355968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101304093542400).

64058418355968 is an abundant number, since it is smaller than the sum of its proper divisors (138549768728832).

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

64058418355968 is a wasteful number, since it uses less digits than its factorization.

64058418355968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16525 (or 16505 counting only the distinct ones).

The product of its (nonzero) digits is 995328000, while the sum is 72.

The spelling of 64058418355968 in words is "sixty-four trillion, fifty-eight billion, four hundred eighteen million, three hundred fifty-five thousand, nine hundred sixty-eight".