4577646760 has 64 divisors (see below), whose sum is σ = 10826265600. Its totient is φ = 1738615296.

The previous prime is 4577646727. The next prime is 4577646817. The reversal of 4577646760 is 676467754.

It is a junction number, because it is equal to n+sod(n) for n = 4577646698 and 4577646707.

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 15 ways as a sum of consecutive naturals, for example, 107881 + ... + 144199.

It is an arithmetic number, because the mean of its divisors is an integer number (169160400).

Almost surely, 2^4577646760 is an apocalyptic number.

4577646760 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 4577646760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413132800).

4577646760 is an abundant number, since it is smaller than the sum of its proper divisors (6248618840).

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

4577646760 is a wasteful number, since it uses less digits than its factorization.

4577646760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36490 (or 36486 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 52.

The square root of 4577646760 is about 67658.3088762940. The cubic root of 4577646760 is about 1660.4052284037.

The spelling of 4577646760 in words is "four billion, five hundred seventy-seven million, six hundred forty-six thousand, seven hundred sixty".