536140356767928 has 256 divisors, whose sum is σ = 1628541938073600. Its totient is φ = 162079810462080.

The previous prime is 536140356767921. The next prime is 536140356767933. The reversal of 536140356767928 is 829767653041635.

It is a happy number.

536140356767928 is a `hidden beast` number, since 5 + 3 + 61 + 403 + 5 + 6 + 76 + 7 + 92 + 8 = 666.

It is a super-2 number, since 2×536140356767928² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536140356767921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1706953825 + ... + 1707267887.

It is an arithmetic number, because the mean of its divisors is an integer number (6361491945600).

It is a 1-persistent number, because it is pandigital, but 2⋅536140356767928 = 1072280713535856 is not.

Almost surely, 2^{536140356767928} 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 536140356767928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814270969036800).

536140356767928 is an abundant number, since it is smaller than the sum of its proper divisors (1092401581305672).

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

536140356767928 is a wasteful number, since it uses less digits than its factorization.

536140356767928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315799 (or 315789 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 536140356767928 in words is "five hundred thirty-six trillion, one hundred forty billion, three hundred fifty-six million, seven hundred sixty-seven thousand, nine hundred twenty-eight".