5179337634240 has 336 divisors, whose sum is σ = 22210615065600. Its totient is φ = 1076225955840.

The previous prime is 5179337634221. The next prime is 5179337634241. The reversal of 5179337634240 is 424367339715.

5179337634240 is a `hidden beast` number, since 5 + 1 + 7 + 9 + 337 + 63 + 4 + 240 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5179337634241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11456040 + ... + 11899559.

Almost surely, 2^{5179337634240} is an apocalyptic number.

It is an amenable number.

5179337634240 is an abundant number, since it is smaller than the sum of its proper divisors (17031277431360).

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

5179337634240 is a wasteful number, since it uses less digits than its factorization.

5179337634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23355640 (or 23355627 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 5179337634240 in words is "five trillion, one hundred seventy-nine billion, three hundred thirty-seven million, six hundred thirty-four thousand, two hundred forty".