5094966320640 has 640 divisors, whose sum is σ = 20698380933120. Its totient is φ = 1163705647104.

The previous prime is 5094966320573. The next prime is 5094966320659. The reversal of 5094966320640 is 460236694905.

5094966320640 is a `hidden beast` number, since 50 + 9 + 496 + 63 + 2 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×5094966320640³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 848168517 + ... + 848174523.

It is an arithmetic number, because the mean of its divisors is an integer number (32341220208).

Almost surely, 2^{5094966320640} 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 5094966320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10349190466560).

5094966320640 is an abundant number, since it is smaller than the sum of its proper divisors (15603414612480).

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

5094966320640 is a wasteful number, since it uses less digits than its factorization.

5094966320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7799 (or 7777 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 5094966320640 in words is "five trillion, ninety-four billion, nine hundred sixty-six million, three hundred twenty thousand, six hundred forty".