508764672000 has 1664 divisors, whose sum is σ = 2146697280000. Its totient is φ = 117846835200.

The previous prime is 508764671993. The next prime is 508764672001. The reversal of 508764672000 is 276467805.

508764672000 is a `hidden beast` number, since 508 + 7 + 64 + 67 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508764672001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3414527926 + ... + 3414528074.

It is an arithmetic number, because the mean of its divisors is an integer number (1290082500).

Almost surely, 2^508764672000 is an apocalyptic number.

508764672000 is a gapful number since it is divisible by the number (50) 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 508764672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073348640000).

508764672000 is an abundant number, since it is smaller than the sum of its proper divisors (1637932608000).

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

508764672000 is a wasteful number, since it uses less digits than its factorization.

508764672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 508764672000 in words is "five hundred eight billion, seven hundred sixty-four million, six hundred seventy-two thousand".