59348364768 has 384 divisors, whose sum is σ = 216291962880. Its totient is φ = 15380928000.

The previous prime is 59348364739. The next prime is 59348364769. The reversal of 59348364768 is 86746384395.

59348364768 is a `hidden beast` number, since 5 + 93 + 48 + 36 + 476 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59348364769) 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 63 ways as a sum of consecutive naturals, for example, 45970203 + ... + 45971493.

It is an arithmetic number, because the mean of its divisors is an integer number (563260320).

Almost surely, 2^59348364768 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 59348364768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108145981440).

59348364768 is an abundant number, since it is smaller than the sum of its proper divisors (156943598112).

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

59348364768 is a wasteful number, since it uses less digits than its factorization.

59348364768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2005 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 59348364768 in words is "fifty-nine billion, three hundred forty-eight million, three hundred sixty-four thousand, seven hundred sixty-eight".