5174979840 has 720 divisors, whose sum is σ = 20300353920. Its totient is φ = 1254113280.

The previous prime is 5174979839. The next prime is 5174979863. The reversal of 5174979840 is 489794715.

5174979840 is a `hidden beast` number, since 517 + 49 + 7 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 72887005 + ... + 72887075.

It is an arithmetic number, because the mean of its divisors is an integer number (28194936).

Almost surely, 2^5174979840 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 5174979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10150176960).

5174979840 is an abundant number, since it is smaller than the sum of its proper divisors (15125374080).

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

5174979840 is a wasteful number, since it uses less digits than its factorization.

5174979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 5174979840 is about 71937.3327278681. The cubic root of 5174979840 is about 1729.6950958972.

The spelling of 5174979840 in words is "five billion, one hundred seventy-four million, nine hundred seventy-nine thousand, eight hundred forty".