4777646926752 has 1728 divisors, whose sum is σ = 18226905016320. Its totient is φ = 1201221052416.

The previous prime is 4777646926669. The next prime is 4777646926753. The reversal of 4777646926752 is 2576296467774.

4777646926752 is a `hidden beast` number, since 4 + 7 + 7 + 76 + 469 + 26 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1493614080) is a multiple of the sum of its prime divisors (270).

It is not an unprimeable number, because it can be changed into a prime (4777646926753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27616456138 + ... + 27616456310.

It is an arithmetic number, because the mean of its divisors is an integer number (10547977440).

Almost surely, 2^{4777646926752} is an apocalyptic number.

4777646926752 is a gapful number since it is divisible by the number (42) 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 4777646926752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9113452508160).

4777646926752 is an abundant number, since it is smaller than the sum of its proper divisors (13449258089568).

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

4777646926752 is a wasteful number, since it uses less digits than its factorization.

4777646926752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 270 counting only the distinct ones).

The product of its digits is 1493614080, while the sum is 72.

The spelling of 4777646926752 in words is "four trillion, seven hundred seventy-seven billion, six hundred forty-six million, nine hundred twenty-six thousand, seven hundred fifty-two".