506604920640 has 448 divisors, whose sum is σ = 1983155596800. Its totient is φ = 106699161600.

The previous prime is 506604920617. The next prime is 506604920641. The reversal of 506604920640 is 46029406605.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 506604920592 and 506604920601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506604920641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52498536 + ... + 52508184.

It is an arithmetic number, because the mean of its divisors is an integer number (4426686600).

Almost surely, 2^506604920640 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 506604920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991577798400).

506604920640 is an abundant number, since it is smaller than the sum of its proper divisors (1476550676160).

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

506604920640 is a wasteful number, since it uses less digits than its factorization.

506604920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10290 (or 10280 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 506604920640 in words is "five hundred six billion, six hundred four million, nine hundred twenty thousand, six hundred forty".