4776420640 has 192 divisors, whose sum is σ = 13014691200. Its totient is φ = 1644281856.

The previous prime is 4776420629. The next prime is 4776420643. The reversal of 4776420640 is 460246774.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4776420593 and 4776420602.

It is not an unprimeable number, because it can be changed into a prime (4776420643) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1497127 + ... + 1500313.

It is an arithmetic number, because the mean of its divisors is an integer number (67784850).

Almost surely, 2^4776420640 is an apocalyptic number.

4776420640 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 4776420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6507345600).

4776420640 is an abundant number, since it is smaller than the sum of its proper divisors (8238270560).

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

4776420640 is a wasteful number, since it uses less digits than its factorization.

4776420640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The square root of 4776420640 is about 69111.6534312412. The cubic root of 4776420640 is about 1684.0986282867.

The spelling of 4776420640 in words is "four billion, seven hundred seventy-six million, four hundred twenty thousand, six hundred forty".