64518793920 has 1344 divisors, whose sum is σ = 279586944000. Its totient is φ = 14143610880.

The previous prime is 64518793909. The next prime is 64518793939. The reversal of 64518793920 is 2939781546.

64518793920 is a `hidden beast` number, since 6 + 4 + 518 + 79 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1093538851 + ... + 1093538909.

It is an arithmetic number, because the mean of its divisors is an integer number (208026000).

It is a 1-persistent number, because it is pandigital, but 2⋅64518793920 = 129037587840 is not.

Almost surely, 2^64518793920 is an apocalyptic number.

64518793920 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 64518793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139793472000).

64518793920 is an abundant number, since it is smaller than the sum of its proper divisors (215068150080).

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

64518793920 is an equidigital number, since it uses as much as digits as its factorization.

64518793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 64518793920 in words is "sixty-four billion, five hundred eighteen million, seven hundred ninety-three thousand, nine hundred twenty".