4971564864 has 280 divisors, whose sum is σ = 17835554880. Its totient is φ = 1336725504.

The previous prime is 4971564863. The next prime is 4971564869. The reversal of 4971564864 is 4684651794.

4971564864 is a `hidden beast` number, since 4 + 9 + 7 + 156 + 486 + 4 = 666.

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 4971564864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4971564863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 612867 + ... + 620925.

Almost surely, 2^4971564864 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 4971564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8917777440).

4971564864 is an abundant number, since it is smaller than the sum of its proper divisors (12863990016).

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

4971564864 is a wasteful number, since it uses less digits than its factorization.

4971564864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8107 (or 8088 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 4971564864 is about 70509.3246599342. The cubic root of 4971564864 is about 1706.7282223349.

The spelling of 4971564864 in words is "four billion, nine hundred seventy-one million, five hundred sixty-four thousand, eight hundred sixty-four".