536413667328 has 1088 divisors, whose sum is σ = 2061568573440. Its totient is φ = 133772083200.

The previous prime is 536413667311. The next prime is 536413667341. The reversal of 536413667328 is 823766314635.

536413667328 is a `hidden beast` number, since 536 + 4 + 1 + 36 + 6 + 73 + 2 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4223729601 + ... + 4223729727.

Almost surely, 2^536413667328 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 536413667328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030784286720).

536413667328 is an abundant number, since it is smaller than the sum of its proper divisors (1525154906112).

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

536413667328 is a wasteful number, since it uses less digits than its factorization.

536413667328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 181 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 536413667328 in words is "five hundred thirty-six billion, four hundred thirteen million, six hundred sixty-seven thousand, three hundred twenty-eight".