504162247680 has 2112 divisors, whose sum is σ = 2297269298688. Its totient is φ = 103195607040.

The previous prime is 504162247621. The next prime is 504162247681. The reversal of 504162247680 is 86742261405.

504162247680 is a `hidden beast` number, since 5 + 0 + 41 + 62 + 2 + 476 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (504162247681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6906332124 + ... + 6906332196.

Almost surely, 2^504162247680 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 504162247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148634649344).

504162247680 is an abundant number, since it is smaller than the sum of its proper divisors (1793107051008).

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

504162247680 is a wasteful number, since it uses less digits than its factorization.

504162247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 504162247680 in words is "five hundred four billion, one hundred sixty-two million, two hundred forty-seven thousand, six hundred eighty".