535206604464 has 800 divisors, whose sum is σ = 1961687777280. Its totient is φ = 137348918784.

The previous prime is 535206604447. The next prime is 535206604511. The reversal of 535206604464 is 464406602535.

It is a happy number.

535206604464 is a `hidden beast` number, since 5 + 3 + 520 + 6 + 60 + 4 + 4 + 64 = 666.

It is a super-2 number, since 2×535206604464² (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 159 ways as a sum of consecutive naturals, for example, 503486397 + ... + 503487459.

Almost surely, 2^535206604464 is an apocalyptic number.

535206604464 is a gapful number since it is divisible by the number (54) 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 535206604464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980843888640).

535206604464 is an abundant number, since it is smaller than the sum of its proper divisors (1426481172816).

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

535206604464 is a wasteful number, since it uses less digits than its factorization.

535206604464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 535206604464 in words is "five hundred thirty-five billion, two hundred six million, six hundred four thousand, four hundred sixty-four".