4712359680 has 720 divisors, whose sum is σ = 19849234944. Its totient is φ = 1045094400.

The previous prime is 4712359661. The next prime is 4712359681. The reversal of 4712359680 is 869532174.

4712359680 is a `hidden beast` number, since 47 + 12 + 3 + 596 + 8 + 0 = 666.

4712359680 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

4712359680 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4712359681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31207605 + ... + 31207755.

It is a 1-persistent number, because it is pandigital, but 2⋅4712359680 = 9424719360 is not.

Almost surely, 2^4712359680 is an apocalyptic number.

4712359680 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 4712359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9924617472).

4712359680 is an abundant number, since it is smaller than the sum of its proper divisors (15136875264).

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

4712359680 is a wasteful number, since it uses less digits than its factorization.

4712359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4712359680 is about 68646.6290505222. The cubic root of 4712359680 is about 1676.5357184539.

The spelling of 4712359680 in words is "four billion, seven hundred twelve million, three hundred fifty-nine thousand, six hundred eighty".