4705377534 has 128 divisors (see below), whose sum is σ = 12337436160. Its totient is φ = 1310515200.

The previous prime is 4705377527. The next prime is 4705377553. The reversal of 4705377534 is 4357735074.

4705377534 is a `hidden beast` number, since 47 + 0 + 5 + 3 + 77 + 534 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4705377534.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1983369 + ... + 1985739.

It is an arithmetic number, because the mean of its divisors is an integer number (96386220).

Almost surely, 2^4705377534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4705377534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168718080).

4705377534 is an abundant number, since it is smaller than the sum of its proper divisors (7632058626).

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

4705377534 is a wasteful number, since it uses less digits than its factorization.

4705377534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 45.

The square root of 4705377534 is about 68595.7544896184. The cubic root of 4705377534 is about 1675.7072868335.

The spelling of 4705377534 in words is "four billion, seven hundred five million, three hundred seventy-seven thousand, five hundred thirty-four".