4923463680 has 288 divisors, whose sum is σ = 17493446880. Its totient is φ = 1279918080.

The previous prime is 4923463669. The next prime is 4923463681. The reversal of 4923463680 is 863643294.

4923463680 is a `hidden beast` number, since 4 + 9 + 2 + 3 + 4 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4923463681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3777909 + ... + 3779211.

It is an arithmetic number, because the mean of its divisors is an integer number (60741135).

Almost surely, 2^4923463680 is an apocalyptic number.

4923463680 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 4923463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8746723440).

4923463680 is an abundant number, since it is smaller than the sum of its proper divisors (12569983200).

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

4923463680 is a wasteful number, since it uses less digits than its factorization.

4923463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 4923463680 is about 70167.3975575552. The cubic root of 4923463680 is about 1701.2060277141.

The spelling of 4923463680 in words is "four billion, nine hundred twenty-three million, four hundred sixty-three thousand, six hundred eighty".