4793472000 has 704 divisors, whose sum is σ = 18904454400. Its totient is φ = 1194393600.

The previous prime is 4793471941. The next prime is 4793472011. The reversal of 4793472000 is 2743974.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 65663964 + ... + 65664036.

Almost surely, 2^4793472000 is an apocalyptic number.

4793472000 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 4793472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9452227200).

4793472000 is an abundant number, since it is smaller than the sum of its proper divisors (14110982400).

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

4793472000 is a wasteful number, since it uses less digits than its factorization.

4793472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 4793472000 is about 69234.9044918818. The cubic root of 4793472000 is about 1686.1002713886.

The spelling of 4793472000 in words is "four billion, seven hundred ninety-three million, four hundred seventy-two thousand".