4681577034 has 128 divisors (see below), whose sum is σ = 11066572800. Its totient is φ = 1464765120.

The previous prime is 4681577023. The next prime is 4681577053. The reversal of 4681577034 is 4307751864.

4681577034 is a `hidden beast` number, since 46 + 8 + 1 + 577 + 0 + 34 = 666.

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, 12352257 + ... + 12352635.

It is an arithmetic number, because the mean of its divisors is an integer number (86457600).

Almost surely, 2^4681577034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4681577034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533286400).

4681577034 is an abundant number, since it is smaller than the sum of its proper divisors (6384995766).

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

4681577034 is a wasteful number, since it uses less digits than its factorization.

4681577034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 4681577034 is about 68422.0507877395. The cubic root of 4681577034 is about 1672.8771841297.

The spelling of 4681577034 in words is "four billion, six hundred eighty-one million, five hundred seventy-seven thousand, thirty-four".