4729063680 has 432 divisors, whose sum is σ = 18148463424. Its totient is φ = 1127301120.

The previous prime is 4729063643. The next prime is 4729063687. The reversal of 4729063680 is 863609274.

4729063680 is a `hidden beast` number, since 4 + 7 + 2 + 9 + 0 + 636 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4729063687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8489962 + ... + 8490518.

It is an arithmetic number, because the mean of its divisors is an integer number (42010332).

Almost surely, 2^4729063680 is an apocalyptic number.

4729063680 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 4729063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9074231712).

4729063680 is an abundant number, since it is smaller than the sum of its proper divisors (13419399744).

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

4729063680 is a wasteful number, since it uses less digits than its factorization.

4729063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4729063680 is about 68768.1879941590. The cubic root of 4729063680 is about 1678.5143328321.

The spelling of 4729063680 in words is "four billion, seven hundred twenty-nine million, sixty-three thousand, six hundred eighty".