505416634624 has 144 divisors (see below), whose sum is σ = 1215981486720. Its totient is φ = 206819655680.

The previous prime is 505416634603. The next prime is 505416634643. The reversal of 505416634624 is 426436614505.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 871542 + ... + 1330570.

It is an arithmetic number, because the mean of its divisors is an integer number (8444315880).

Almost surely, 2^505416634624 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 505416634624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607990743360).

505416634624 is an abundant number, since it is smaller than the sum of its proper divisors (710564852096).

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

505416634624 is a wasteful number, since it uses less digits than its factorization.

505416634624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459096 (or 459082 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 505416634624 in words is "five hundred five billion, four hundred sixteen million, six hundred thirty-four thousand, six hundred twenty-four".