4767178680 has 192 divisors, whose sum is σ = 17036697600. Its totient is φ = 1146458880.

The previous prime is 4767178643. The next prime is 4767178711. The reversal of 4767178680 is 868717674.

4767178680 is a `hidden beast` number, since 476 + 7 + 17 + 86 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 498181 + ... + 507659.

It is an arithmetic number, because the mean of its divisors is an integer number (88732800).

Almost surely, 2^4767178680 is an apocalyptic number.

4767178680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4767178680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8518348800).

4767178680 is an abundant number, since it is smaller than the sum of its proper divisors (12269518920).

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

4767178680 is a wasteful number, since it uses less digits than its factorization.

4767178680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9634 (or 9627 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 4767178680 is about 69044.7585266253. The cubic root of 4767178680 is about 1683.0117320026.

The spelling of 4767178680 in words is "four billion, seven hundred sixty-seven million, one hundred seventy-eight thousand, six hundred eighty".