5006407792680 has 1024 divisors, whose sum is σ = 20386308096000. Its totient is φ = 1066808475648.

The previous prime is 5006407792679. The next prime is 5006407792681. The reversal of 5006407792680 is 862977046005.

5006407792680 is a `hidden beast` number, since 500 + 6 + 4 + 0 + 7 + 79 + 2 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5006407792679) and next prime (5006407792681).

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

It is not an unprimeable number, because it can be changed into a prime (5006407792681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8798607436 + ... + 8798608004.

It is an arithmetic number, because the mean of its divisors is an integer number (19908504000).

Almost surely, 2^{5006407792680} 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 5006407792680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10193154048000).

5006407792680 is an abundant number, since it is smaller than the sum of its proper divisors (15379900303320).

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

5006407792680 is a wasteful number, since it uses less digits than its factorization.

5006407792680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 5006407792680 in words is "five trillion, six billion, four hundred seven million, seven hundred ninety-two thousand, six hundred eighty".