509698770672 has 720 divisors, whose sum is σ = 1771782661152. Its totient is φ = 125097799680.

The previous prime is 509698770629. The next prime is 509698770683. The reversal of 509698770672 is 276077896905.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 673313718 + ... + 673314474.

Almost surely, 2^509698770672 is an apocalyptic number.

509698770672 is a gapful number since it is divisible by the number (52) 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 509698770672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885891330576).

509698770672 is an abundant number, since it is smaller than the sum of its proper divisors (1262083890480).

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

509698770672 is a wasteful number, since it uses less digits than its factorization.

509698770672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 66.

The spelling of 509698770672 in words is "five hundred nine billion, six hundred ninety-eight million, seven hundred seventy thousand, six hundred seventy-two".