534508977664 has 160 divisors (see below), whose sum is σ = 1174991938560. Its totient is φ = 241781760000.

The previous prime is 534508977661. The next prime is 534508977679. The reversal of 534508977664 is 466779805435.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 534508977596 and 534508977605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534508977661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168030154 + ... + 168033334.

It is an arithmetic number, because the mean of its divisors is an integer number (7343699616).

Almost surely, 2^534508977664 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 534508977664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587495969280).

534508977664 is an abundant number, since it is smaller than the sum of its proper divisors (640482960896).

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

534508977664 is a wasteful number, since it uses less digits than its factorization.

534508977664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 64.

The spelling of 534508977664 in words is "five hundred thirty-four billion, five hundred eight million, nine hundred seventy-seven thousand, six hundred sixty-four".