4705689600 has 672 divisors, whose sum is σ = 18527207040. Its totient is φ = 1167851520.

The previous prime is 4705689559. The next prime is 4705689601. The reversal of 4705689600 is 69865074.

It is a super-2 number, since 2×4705689600² = 44287029223096320000, which contains 22 as substring.

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 (4705689601) 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, 127180782 + ... + 127180818.

Almost surely, 2^4705689600 is an apocalyptic number.

4705689600 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 4705689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9263603520).

4705689600 is an abundant number, since it is smaller than the sum of its proper divisors (13821517440).

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

4705689600 is a wasteful number, since it uses less digits than its factorization.

4705689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4705689600 is about 68598.0291262074. The cubic root of 4705689600 is about 1675.7443309535.

The spelling of 4705689600 in words is "four billion, seven hundred five million, six hundred eighty-nine thousand, six hundred".