64060008217920 has 1792 divisors, whose sum is σ = 269818237624320. Its totient is φ = 14221329408000.

The previous prime is 64060008217879. The next prime is 64060008217927. The reversal of 64060008217920 is 2971280006046.

It is a happy number.

64060008217920 is a `hidden beast` number, since 6 + 4 + 0 + 600 + 0 + 8 + 2 + 17 + 9 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64060008217927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19584225885 + ... + 19584229155.

It is an arithmetic number, because the mean of its divisors is an integer number (150568212960).

Almost surely, 2^{64060008217920} is an apocalyptic number.

64060008217920 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 64060008217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134909118812160).

64060008217920 is an abundant number, since it is smaller than the sum of its proper divisors (205758229406400).

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

64060008217920 is a wasteful number, since it uses less digits than its factorization.

64060008217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 64060008217920 in words is "sixty-four trillion, sixty billion, eight million, two hundred seventeen thousand, nine hundred twenty".