507905999640 has 320 divisors, whose sum is σ = 1843003562400. Its totient is φ = 124713105408.

The previous prime is 507905999639. The next prime is 507905999641. The reversal of 507905999640 is 46999509705.

It is an interprime number because it is at equal distance from previous prime (507905999639) and next prime (507905999641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507905999641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17212339 + ... + 17241821.

Almost surely, 2^507905999640 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 507905999640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921501781200).

507905999640 is an abundant number, since it is smaller than the sum of its proper divisors (1335097562760).

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

507905999640 is a wasteful number, since it uses less digits than its factorization.

507905999640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29928 (or 29915 counting only the distinct ones).

The product of its (nonzero) digits is 27556200, while the sum is 63.

The spelling of 507905999640 in words is "five hundred seven billion, nine hundred five million, nine hundred ninety-nine thousand, six hundred forty".