536348335680 has 336 divisors, whose sum is σ = 1885913789760. Its totient is φ = 139870900224.

The previous prime is 536348335667. The next prime is 536348335723. The reversal of 536348335680 is 86533843635.

It is a happy number.

536348335680 is a `hidden beast` number, since 5 + 3 + 6 + 3 + 48 + 33 + 568 + 0 = 666.

It is a super-2 number, since 2×536348335680² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26811442 + ... + 26831438.

It is an arithmetic number, because the mean of its divisors is an integer number (5612838660).

Almost surely, 2^536348335680 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 536348335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942956894880).

536348335680 is an abundant number, since it is smaller than the sum of its proper divisors (1349565454080).

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

536348335680 is a wasteful number, since it uses less digits than its factorization.

536348335680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20226 (or 20213 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 536348335680 in words is "five hundred thirty-six billion, three hundred forty-eight million, three hundred thirty-five thousand, six hundred eighty".