5178672408 has 288 divisors, whose sum is σ = 16582786560. Its totient is φ = 1342897920.

The previous prime is 5178672407. The next prime is 5178672437. The reversal of 5178672408 is 8042768715.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5178672407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14110641 + ... + 14111007.

It is an arithmetic number, because the mean of its divisors is an integer number (57579120).

Almost surely, 2^5178672408 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 5178672408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8291393280).

5178672408 is an abundant number, since it is smaller than the sum of its proper divisors (11404114152).

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

5178672408 is a wasteful number, since it uses less digits than its factorization.

5178672408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The square root of 5178672408 is about 71962.9933229573. The cubic root of 5178672408 is about 1730.1064017331.

The spelling of 5178672408 in words is "five billion, one hundred seventy-eight million, six hundred seventy-two thousand, four hundred eight".