4682177760 has 192 divisors, whose sum is σ = 16002245952. Its totient is φ = 1143914496.

The previous prime is 4682177743. The next prime is 4682177789. The reversal of 4682177760 is 677712864.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 852142 + ... + 857618.

It is an arithmetic number, because the mean of its divisors is an integer number (83345031).

Almost surely, 2^4682177760 is an apocalyptic number.

4682177760 is a gapful number since it is divisible by the number (40) 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 4682177760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8001122976).

4682177760 is an abundant number, since it is smaller than the sum of its proper divisors (11320068192).

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

4682177760 is a wasteful number, since it uses less digits than its factorization.

4682177760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5645 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 4682177760 is about 68426.4405036533. The cubic root of 4682177760 is about 1672.9487339394.

The spelling of 4682177760 in words is "four billion, six hundred eighty-two million, one hundred seventy-seven thousand, seven hundred sixty".