508262480640 has 360 divisors, whose sum is σ = 1821259310640. Its totient is φ = 135342710784.

The previous prime is 508262480639. The next prime is 508262480641. The reversal of 508262480640 is 46084262805.

508262480640 is a `hidden beast` number, since 50 + 8 + 2 + 62 + 480 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (508262480639) and next prime (508262480641).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (508262480641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81593046 + ... + 81599274.

Almost surely, 2^508262480640 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 508262480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910629655320).

508262480640 is an abundant number, since it is smaller than the sum of its proper divisors (1312996830000).

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

508262480640 is an equidigital number, since it uses as much as digits as its factorization.

508262480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7049 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 508262480640 in words is "five hundred eight billion, two hundred sixty-two million, four hundred eighty thousand, six hundred forty".