4711680000 has 360 divisors, whose sum is σ = 17046379350. Its totient is φ = 1253376000.

The previous prime is 4711679977. The next prime is 4711680023. The reversal of 4711680000 is 861174.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4711679977) and next prime (4711680023).

It can be written as a sum of positive squares in 5 ways, for example, as 562258944 + 4149421056 = 23712^2 + 64416^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11519796 + ... + 11520204.

Almost surely, 2^4711680000 is an apocalyptic number.

4711680000 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 4711680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8523189675).

4711680000 is an abundant number, since it is smaller than the sum of its proper divisors (12334699350).

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

4711680000 is an equidigital number, since it uses as much as digits as its factorization.

4711680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 4711680000 is about 68641.6783011604. The cubic root of 4711680000 is about 1676.4551103889.

The spelling of 4711680000 in words is "four billion, seven hundred eleven million, six hundred eighty thousand".