5079435407640 has 256 divisors, whose sum is σ = 18472569177600. Its totient is φ = 1231251955200.

The previous prime is 5079435407623. The next prime is 5079435407653. The reversal of 5079435407640 is 467045349705.

5079435407640 is a `hidden beast` number, since 5 + 0 + 7 + 94 + 3 + 540 + 7 + 6 + 4 + 0 = 666.

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, 173682859 + ... + 173712101.

It is an arithmetic number, because the mean of its divisors is an integer number (72158473350).

Almost surely, 2^{5079435407640} 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 5079435407640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9236284588800).

5079435407640 is an abundant number, since it is smaller than the sum of its proper divisors (13393133769960).

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

5079435407640 is a wasteful number, since it uses less digits than its factorization.

5079435407640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43895 (or 43885 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 5079435407640 in words is "five trillion, seventy-nine billion, four hundred thirty-five million, four hundred seven thousand, six hundred forty".