4914823680 has 480 divisors, whose sum is σ = 18700521840. Its totient is φ = 1185546240.

The previous prime is 4914823643. The next prime is 4914823717. The reversal of 4914823680 is 863284194.

It is a happy number.

4914823680 is a `hidden beast` number, since 4 + 91 + 482 + 3 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4914823643) and next prime (4914823717).

It can be written as a sum of positive squares in 8 ways, for example, as 10342656 + 4904481024 = 3216^2 + 70032^2 .

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

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

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, 18270586 + ... + 18270854.

Almost surely, 2^4914823680 is an apocalyptic number.

4914823680 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 4914823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9350260920).

4914823680 is an abundant number, since it is smaller than the sum of its proper divisors (13785698160).

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

4914823680 is a wasteful number, since it uses less digits than its factorization.

4914823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4914823680 is about 70105.8034687571. The cubic root of 4914823680 is about 1700.2103176932.

The spelling of 4914823680 in words is "four billion, nine hundred fourteen million, eight hundred twenty-three thousand, six hundred eighty".