4921896960 has 624 divisors, whose sum is σ = 18890936064. Its totient is φ = 1226244096.

The previous prime is 4921896913. The next prime is 4921896977. The reversal of 4921896960 is 696981294.

4921896960 is a `hidden beast` number, since 492 + 1 + 8 + 96 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4921896897 and 4921896906.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 114462699 + ... + 114462741.

It is an arithmetic number, because the mean of its divisors is an integer number (30273936).

Almost surely, 2^4921896960 is an apocalyptic number.

4921896960 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 4921896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9445468032).

4921896960 is an abundant number, since it is smaller than the sum of its proper divisors (13969039104).

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

4921896960 is an equidigital number, since it uses as much as digits as its factorization.

4921896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 4921896960 is about 70156.2325100201. The cubic root of 4921896960 is about 1701.0255588108.

The spelling of 4921896960 in words is "four billion, nine hundred twenty-one million, eight hundred ninety-six thousand, nine hundred sixty".