507564427700 has 144 divisors (see below), whose sum is σ = 1231444057536. Its totient is φ = 179989555200.

The previous prime is 507564427661. The next prime is 507564427709. The reversal of 507564427700 is 7724465705.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507564427709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30878684 + ... + 30895116.

It is an arithmetic number, because the mean of its divisors is an integer number (8551694844).

Almost surely, 2^507564427700 is an apocalyptic number.

507564427700 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 507564427700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615722028768).

507564427700 is an abundant number, since it is smaller than the sum of its proper divisors (723879629836).

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

507564427700 is a wasteful number, since it uses less digits than its factorization.

507564427700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17154 (or 17147 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 47.

The spelling of 507564427700 in words is "five hundred seven billion, five hundred sixty-four million, four hundred twenty-seven thousand, seven hundred".