4713945600 has 960 divisors, whose sum is σ = 20458690560. Its totient is φ = 928972800.

The previous prime is 4713945583. The next prime is 4713945601. The reversal of 4713945600 is 65493174.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (4713945601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66393565 + ... + 66393635.

It is an arithmetic number, because the mean of its divisors is an integer number (21311136).

Almost surely, 2^4713945600 is an apocalyptic number.

4713945600 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 4713945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10229345280).

4713945600 is an abundant number, since it is smaller than the sum of its proper divisors (15744744960).

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

4713945600 is a wasteful number, since it uses less digits than its factorization.

4713945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 4713945600 is about 68658.1794107592. The cubic root of 4713945600 is about 1676.7237738011.

The spelling of 4713945600 in words is "four billion, seven hundred thirteen million, nine hundred forty-five thousand, six hundred".