508245767680 has 160 divisors (see below), whose sum is σ = 1399909667904. Its totient is φ = 173351632896.

The previous prime is 508245767651. The next prime is 508245767713. The reversal of 508245767680 is 86767542805.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×508245767680³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

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, 3385084 + ... + 3532036.

Almost surely, 2^508245767680 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 508245767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699954833952).

508245767680 is an abundant number, since it is smaller than the sum of its proper divisors (891663900224).

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

508245767680 is a wasteful number, since it uses less digits than its factorization.

508245767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147176 (or 147160 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 58.

The spelling of 508245767680 in words is "five hundred eight billion, two hundred forty-five million, seven hundred sixty-seven thousand, six hundred eighty".