4970556864 has 1008 divisors, whose sum is σ = 20236769280. Its totient is φ = 1149603840.

The previous prime is 4970556827. The next prime is 4970556901. The reversal of 4970556864 is 4686550794.

4970556864 is a `hidden beast` number, since 4 + 9 + 7 + 0 + 556 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4970556827) and next prime (4970556901).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 4970556864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 160340529 + ... + 160340559.

It is an arithmetic number, because the mean of its divisors is an integer number (20076160).

It is a vampire number, since it can be written as 56544 ⋅ 87906 (with its own digits).

Almost surely, 2^4970556864 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 4970556864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10118384640).

4970556864 is an abundant number, since it is smaller than the sum of its proper divisors (15266212416).

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

4970556864 is a wasteful number, since it uses less digits than its factorization.

4970556864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 4970556864 is about 70502.1763068347. The cubic root of 4970556864 is about 1706.6128664138.

The spelling of 4970556864 in words is "four billion, nine hundred seventy million, five hundred fifty-six thousand, eight hundred sixty-four".