508467407616 has 1152 divisors, whose sum is σ = 1884409712640. Its totient is φ = 132084006912.

The previous prime is 508467407611. The next prime is 508467407641. The reversal of 508467407616 is 616704764805.

508467407616 is a `hidden beast` number, since 508 + 4 + 6 + 74 + 0 + 7 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (508467407611) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2182263436 + ... + 2182263668.

It is an arithmetic number, because the mean of its divisors is an integer number (1635772320).

Almost surely, 2^508467407616 is an apocalyptic number.

508467407616 is a gapful number since it is divisible by the number (56) 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 508467407616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942204856320).

508467407616 is an abundant number, since it is smaller than the sum of its proper divisors (1375942305024).

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

508467407616 is a wasteful number, since it uses less digits than its factorization.

508467407616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 508467407616 in words is "five hundred eight billion, four hundred sixty-seven million, four hundred seven thousand, six hundred sixteen".