4769101600 has 72 divisors (see below), whose sum is σ = 11691751680. Its totient is φ = 1899582720.

The previous prime is 4769101583. The next prime is 4769101621. The reversal of 4769101600 is 61019674.

It is a super-2 number, since 2×4769101600² = 45488660142245120000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 178729 + ... + 203671.

It is an arithmetic number, because the mean of its divisors is an integer number (162385440).

Almost surely, 2^4769101600 is an apocalyptic number.

4769101600 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 4769101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845875840).

4769101600 is an abundant number, since it is smaller than the sum of its proper divisors (6922650080).

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

4769101600 is a wasteful number, since it uses less digits than its factorization.

4769101600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25202 (or 25189 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 4769101600 is about 69058.6822926705. The cubic root of 4769101600 is about 1683.2379917463.

The spelling of 4769101600 in words is "four billion, seven hundred sixty-nine million, one hundred one thousand, six hundred".