4729113984 has 512 divisors, whose sum is σ = 16293888000. Its totient is φ = 1184440320.

The previous prime is 4729113979. The next prime is 4729114007. The reversal of 4729113984 is 4893119274.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45913677 + ... + 45913779.

It is an arithmetic number, because the mean of its divisors is an integer number (31824000).

Almost surely, 2^4729113984 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 4729113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8146944000).

4729113984 is an abundant number, since it is smaller than the sum of its proper divisors (11564774016).

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

4729113984 is a wasteful number, since it uses less digits than its factorization.

4729113984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 4729113984 is about 68768.5537436989. The cubic root of 4729113984 is about 1678.5202843757.

The spelling of 4729113984 in words is "four billion, seven hundred twenty-nine million, one hundred thirteen thousand, nine hundred eighty-four".