4677997764 has 48 divisors (see below), whose sum is σ = 12229471296. Its totient is φ = 1379260800.

The previous prime is 4677997759. The next prime is 4677997769.

4677997764 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4677997759) and next prime (4677997769).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 4677997695 and 4677997704.

It is not an unprimeable number, because it can be changed into a prime (4677997769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474027 + ... + 483794.

It is an arithmetic number, because the mean of its divisors is an integer number (254780652).

Almost surely, 2^4677997764 is an apocalyptic number.

4677997764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4677997764 is an abundant number, since it is smaller than the sum of its proper divisors (7551473532).

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

4677997764 is a wasteful number, since it uses less digits than its factorization.

4677997764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957876 (or 957874 counting only the distinct ones).

The product of its digits is 112021056, while the sum is 66.

The square root of 4677997764 is about 68395.8899642369. The cubic root of 4677997764 is about 1672.4507462241.

The spelling of 4677997764 in words is "four billion, six hundred seventy-seven million, nine hundred ninety-seven thousand, seven hundred sixty-four".