5006312640 has 336 divisors, whose sum is σ = 19810732032. Its totient is φ = 1136683008.

The previous prime is 5006312629. The next prime is 5006312653. The reversal of 5006312640 is 462136005.

5006312640 is a `hidden beast` number, since 5 + 0 + 0 + 6 + 3 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3365977 + ... + 3367463.

It is an arithmetic number, because the mean of its divisors is an integer number (58960512).

Almost surely, 2^5006312640 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 5006312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9905366016).

5006312640 is an abundant number, since it is smaller than the sum of its proper divisors (14804419392).

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

5006312640 is a wasteful number, since it uses less digits than its factorization.

5006312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5006312640 is about 70755.3011441546. The cubic root of 5006312640 is about 1710.6952748749.

Adding to 5006312640 its reverse (462136005), we get a palindrome (5468448645).

The spelling of 5006312640 in words is "five billion, six million, three hundred twelve thousand, six hundred forty".