4713153984 has 1008 divisors, whose sum is σ = 19514027520. Its totient is φ = 1068318720.

The previous prime is 4713153971. The next prime is 4713153989. The reversal of 4713153984 is 4893513174.

4713153984 is a `hidden beast` number, since 4 + 7 + 1 + 31 + 539 + 84 = 666.

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

Its product of digits (362880) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4713153989) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 100279849 + ... + 100279895.

Almost surely, 2^4713153984 is an apocalyptic number.

4713153984 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 4713153984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9757013760).

4713153984 is an abundant number, since it is smaller than the sum of its proper divisors (14800873536).

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

4713153984 is a wasteful number, since it uses less digits than its factorization.

4713153984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 4713153984 is about 68652.4142619908. The cubic root of 4713153984 is about 1676.6299107696.

The spelling of 4713153984 in words is "four billion, seven hundred thirteen million, one hundred fifty-three thousand, nine hundred eighty-four".