506461311720 has 2048 divisors, whose sum is σ = 2265145344000. Its totient is φ = 97820835840.

The previous prime is 506461311689. The next prime is 506461311721. The reversal of 506461311720 is 27113164605.

506461311720 is a `hidden beast` number, since 5 + 0 + 6 + 4 + 613 + 1 + 17 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (506461311721) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 6410902641 + ... + 6410902719.

It is an arithmetic number, because the mean of its divisors is an integer number (1106028000).

Almost surely, 2^506461311720 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 506461311720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132572672000).

506461311720 is an abundant number, since it is smaller than the sum of its proper divisors (1758684032280).

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

506461311720 is a wasteful number, since it uses less digits than its factorization.

506461311720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 506461311720 in words is "five hundred six billion, four hundred sixty-one million, three hundred eleven thousand, seven hundred twenty".