4712793600 has 480 divisors, whose sum is σ = 16659219456. Its totient is φ = 1172275200.

The previous prime is 4712793599. The next prime is 4712793619. The reversal of 4712793600 is 63972174.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44044747 + ... + 44044853.

Almost surely, 2^4712793600 is an apocalyptic number.

4712793600 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 4712793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8329609728).

4712793600 is an abundant number, since it is smaller than the sum of its proper divisors (11946425856).

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

4712793600 is a wasteful number, since it uses less digits than its factorization.

4712793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 4712793600 is about 68649.7895116948. The cubic root of 4712793600 is about 1676.5871760463.

The spelling of 4712793600 in words is "four billion, seven hundred twelve million, seven hundred ninety-three thousand, six hundred".