4981470624 has 192 divisors, whose sum is σ = 15693955200. Its totient is φ = 1528160256.

The previous prime is 4981470619. The next prime is 4981470629. The reversal of 4981470624 is 4260741894.

4981470624 is a `hidden beast` number, since 4 + 9 + 8 + 14 + 7 + 0 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (4981470619) and next prime (4981470629).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4981470624.

It is not an unprimeable number, because it can be changed into a prime (4981470629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7401552 + ... + 7402224.

It is an arithmetic number, because the mean of its divisors is an integer number (81739350).

Almost surely, 2^4981470624 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 4981470624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7846977600).

4981470624 is an abundant number, since it is smaller than the sum of its proper divisors (10712484576).

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

4981470624 is a wasteful number, since it uses less digits than its factorization.

4981470624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4981470624 is about 70579.5340307656. The cubic root of 4981470624 is about 1707.8610128097.

The spelling of 4981470624 in words is "four billion, nine hundred eighty-one million, four hundred seventy thousand, six hundred twenty-four".