4677676767764 has 432 divisors, whose sum is σ = 11491198161408. Its totient is φ = 1629239040000.

The previous prime is 4677676767763. The next prime is 4677676767857.

4677676767764 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4677676767763) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2717998424 + ... + 2718000144.

It is an arithmetic number, because the mean of its divisors is an integer number (26599995744).

Almost surely, 2^{4677676767764} is an apocalyptic number.

4677676767764 is a gapful number since it is divisible by the number (44) 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 4677676767764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745599080704).

4677676767764 is an abundant number, since it is smaller than the sum of its proper divisors (6813521393644).

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

4677676767764 is a wasteful number, since it uses less digits than its factorization.

4677676767764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1902 counting only the distinct ones).

The product of its digits is 14637417984, while the sum is 80.

The spelling of 4677676767764 in words is "four trillion, six hundred seventy-seven billion, six hundred seventy-six million, seven hundred sixty-seven thousand, seven hundred sixty-four".