536333663040 has 672 divisors, whose sum is σ = 2018464848000. Its totient is φ = 120283398144.

The previous prime is 536333663027. The next prime is 536333663069. The reversal of 536333663040 is 40366333635.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 536333662983 and 536333663001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1074816711 + ... + 1074817209.

Almost surely, 2^536333663040 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 536333663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009232424000).

536333663040 is an abundant number, since it is smaller than the sum of its proper divisors (1482131184960).

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

536333663040 is a wasteful number, since it uses less digits than its factorization.

536333663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 42.

Adding to 536333663040 its reverse (40366333635), we get a palindrome (576699996675).

The spelling of 536333663040 in words is "five hundred thirty-six billion, three hundred thirty-three million, six hundred sixty-three thousand, forty".