4766400768 has 144 divisors (see below), whose sum is σ = 13332243456. Its totient is φ = 1508812800.

The previous prime is 4766400719. The next prime is 4766400799. The reversal of 4766400768 is 8670046674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2666371 + ... + 2668157.

It is an arithmetic number, because the mean of its divisors is an integer number (92585024).

Almost surely, 2^4766400768 is an apocalyptic number.

4766400768 is a gapful number since it is divisible by the number (48) 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 4766400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666121728).

4766400768 is an abundant number, since it is smaller than the sum of its proper divisors (8565842688).

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

4766400768 is a wasteful number, since it uses less digits than its factorization.

4766400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 4766400768 is about 69039.1249075479. The cubic root of 4766400768 is about 1682.9201819594.

The spelling of 4766400768 in words is "four billion, seven hundred sixty-six million, four hundred thousand, seven hundred sixty-eight".