4677011540 has 96 divisors (see below), whose sum is σ = 10538035200. Its totient is φ = 1739727360.

The previous prime is 4677011539. The next prime is 4677011551. The reversal of 4677011540 is 451107764.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4677011540.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4836137 + ... + 4837103.

It is an arithmetic number, because the mean of its divisors is an integer number (109771200).

Almost surely, 2^4677011540 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 4677011540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269017600).

4677011540 is an abundant number, since it is smaller than the sum of its proper divisors (5861023660).

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

4677011540 is a wasteful number, since it uses less digits than its factorization.

4677011540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 4677011540 is about 68388.6799112251. The cubic root of 4677011540 is about 1672.3332082608. Note that the first 3 decimals are identical.

The spelling of 4677011540 in words is "four billion, six hundred seventy-seven million, eleven thousand, five hundred forty".