536610738816 has 640 divisors, whose sum is σ = 1720376064000. Its totient is φ = 165542952960.

The previous prime is 536610738799. The next prime is 536610738857. The reversal of 536610738816 is 618837016635.

536610738816 is a `hidden beast` number, since 5 + 3 + 6 + 610 + 7 + 3 + 8 + 8 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2226600456 + ... + 2226600696.

It is an arithmetic number, because the mean of its divisors is an integer number (2688087600).

Almost surely, 2^536610738816 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 536610738816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860188032000).

536610738816 is an abundant number, since it is smaller than the sum of its proper divisors (1183765325184).

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

536610738816 is a wasteful number, since it uses less digits than its factorization.

536610738816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 536610738816 in words is "five hundred thirty-six billion, six hundred ten million, seven hundred thirty-eight thousand, eight hundred sixteen".