536379465888 has 288 divisors, whose sum is σ = 1825831022400. Its totient is φ = 152748384768.

The previous prime is 536379465859. The next prime is 536379465911. The reversal of 536379465888 is 888564973635.

It is a happy number.

536379465888 is a `hidden beast` number, since 5 + 3 + 6 + 37 + 9 + 4 + 6 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 12976518 + ... + 13017786.

It is an arithmetic number, because the mean of its divisors is an integer number (6339691050).

Almost surely, 2^536379465888 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 536379465888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912915511200).

536379465888 is an abundant number, since it is smaller than the sum of its proper divisors (1289451556512).

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

536379465888 is a wasteful number, since it uses less digits than its factorization.

536379465888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41609 (or 41588 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 536379465888 in words is "five hundred thirty-six billion, three hundred seventy-nine million, four hundred sixty-five thousand, eight hundred eighty-eight".