507076064500 has 96 divisors (see below), whose sum is σ = 1137820320000. Its totient is φ = 197273059200.

The previous prime is 507076064491. The next prime is 507076064563. The reversal of 507076064500 is 5460670705.

It is a happy number.

It is a super-2 number, since 2×507076064500² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92478759 + ... + 92484241.

It is an arithmetic number, because the mean of its divisors is an integer number (11852295000).

Almost surely, 2^507076064500 is an apocalyptic number.

507076064500 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 507076064500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568910160000).

507076064500 is an abundant number, since it is smaller than the sum of its proper divisors (630744255500).

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

507076064500 is a wasteful number, since it uses less digits than its factorization.

507076064500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10538 (or 10526 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 507076064500 in words is "five hundred seven billion, seventy-six million, sixty-four thousand, five hundred".