4674560000 has 280 divisors, whose sum is σ = 12897483984. Its totient is φ = 1679360000.

The previous prime is 4674559979. The next prime is 4674560003. The reversal of 4674560000 is 654764.

It is a super-2 number, since 2×4674560000² = 43703022387200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4674560003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56319959 + ... + 56320041.

Almost surely, 2^4674560000 is an apocalyptic number.

4674560000 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 4674560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448741992).

4674560000 is an abundant number, since it is smaller than the sum of its proper divisors (8222923984).

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

4674560000 is an frugal number, since it uses more digits than its factorization.

4674560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 4674560000 is about 68370.7539815088. The cubic root of 4674560000 is about 1672.0409626496.

The spelling of 4674560000 in words is "four billion, six hundred seventy-four million, five hundred sixty thousand".