535664295936 has 640 divisors, whose sum is σ = 1996009456320. Its totient is φ = 139080499200.

The previous prime is 535664295923. The next prime is 535664295941. The reversal of 535664295936 is 639592466535.

It is a happy number.

535664295936 is a `hidden beast` number, since 5 + 35 + 6 + 6 + 4 + 2 + 9 + 593 + 6 = 666.

It is a super-2 number, since 2×535664295936² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 204372706 + ... + 204375326.

Almost surely, 2^535664295936 is an apocalyptic number.

535664295936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535664295936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998004728160).

535664295936 is an abundant number, since it is smaller than the sum of its proper divisors (1460345160384).

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

535664295936 is an equidigital number, since it uses as much as digits as its factorization.

535664295936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2644 counting only the distinct ones).

The product of its digits is 157464000, while the sum is 63.

The spelling of 535664295936 in words is "five hundred thirty-five billion, six hundred sixty-four million, two hundred ninety-five thousand, nine hundred thirty-six".