5178464676 has 192 divisors, whose sum is σ = 16810536960. Its totient is φ = 1339269120.

The previous prime is 5178464659. The next prime is 5178464699. The reversal of 5178464676 is 6764648715.

5178464676 is a `hidden beast` number, since 5 + 178 + 4 + 6 + 467 + 6 = 666.

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

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, 2136001 + ... + 2138423.

It is an arithmetic number, because the mean of its divisors is an integer number (87554880).

Almost surely, 2^5178464676 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 5178464676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8405268480).

5178464676 is an abundant number, since it is smaller than the sum of its proper divisors (11632072284).

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

5178464676 is a wasteful number, since it uses less digits than its factorization.

5178464676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2703 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 5178464676 is about 71961.5499833071. The cubic root of 5178464676 is about 1730.0832681807.

The spelling of 5178464676 in words is "five billion, one hundred seventy-eight million, four hundred sixty-four thousand, six hundred seventy-six".