4978671264 has 288 divisors, whose sum is σ = 17629799040. Its totient is φ = 1360364544.

The previous prime is 4978671233. The next prime is 4978671277. The reversal of 4978671264 is 4621768794.

4978671264 is a `hidden beast` number, since 497 + 86 + 7 + 12 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4978671264.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 971172 + ... + 976284.

It is an arithmetic number, because the mean of its divisors is an integer number (61214580).

Almost surely, 2^4978671264 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 4978671264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8814899520).

4978671264 is an abundant number, since it is smaller than the sum of its proper divisors (12651127776).

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

4978671264 is a wasteful number, since it uses less digits than its factorization.

4978671264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169 (or 5148 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 4978671264 is about 70559.6999993622. The cubic root of 4978671264 is about 1707.5410394526.

The spelling of 4978671264 in words is "four billion, nine hundred seventy-eight million, six hundred seventy-one thousand, two hundred sixty-four".