4717952000 has 352 divisors, whose sum is σ = 12875466240. Its totient is φ = 1720320000.

The previous prime is 4717951991. The next prime is 4717952009. The reversal of 4717952000 is 2597174.

It is an interprime number because it is at equal distance from previous prime (4717951991) and next prime (4717952009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4717952009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115071980 + ... + 115072020.

Almost surely, 2^4717952000 is an apocalyptic number.

4717952000 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 4717952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437733120).

4717952000 is an abundant number, since it is smaller than the sum of its proper divisors (8157514240).

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

4717952000 is a wasteful number, since it uses less digits than its factorization.

4717952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 4717952000 is about 68687.3496358682. The cubic root of 4717952000 is about 1677.1986572274.

The spelling of 4717952000 in words is "four billion, seven hundred seventeen million, nine hundred fifty-two thousand".