4878008784 has 160 divisors (see below), whose sum is σ = 15647748480. Its totient is φ = 1442073600.

The previous prime is 4878008761. The next prime is 4878008791.

It is a happy number.

4878008784 is a `hidden beast` number, since 487 + 8 + 0 + 0 + 87 + 84 = 666.

4878008784 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4878008784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182314 + ... + 207350.

It is an arithmetic number, because the mean of its divisors is an integer number (97798428).

Almost surely, 2^4878008784 is an apocalyptic number.

4878008784 is a gapful number since it is divisible by the number (44) 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 4878008784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7823874240).

4878008784 is an abundant number, since it is smaller than the sum of its proper divisors (10769739696).

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

4878008784 is a wasteful number, since it uses less digits than its factorization.

4878008784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25106 (or 25094 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The square root of 4878008784 is about 69842.7432450931. The cubic root of 4878008784 is about 1695.9544847314.

The spelling of 4878008784 in words is "four billion, eight hundred seventy-eight million, eight thousand, seven hundred eighty-four".