5008820674320 has 480 divisors, whose sum is σ = 17313448868352. Its totient is φ = 1297273356288.

The previous prime is 5008820674303. The next prime is 5008820674337. The reversal of 5008820674320 is 234760288005.

5008820674320 is a `hidden beast` number, since 5 + 0 + 0 + 8 + 8 + 206 + 7 + 432 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5008820674303) and next prime (5008820674337).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1470154057 + ... + 1470157463.

Almost surely, 2^{5008820674320} 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 5008820674320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8656724434176).

5008820674320 is an abundant number, since it is smaller than the sum of its proper divisors (12304628194032).

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

5008820674320 is a wasteful number, since it uses less digits than its factorization.

5008820674320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3919 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 5008820674320 in words is "five trillion, eight billion, eight hundred twenty million, six hundred seventy-four thousand, three hundred twenty".