4896717840 has 480 divisors, whose sum is σ = 19976935680. Its totient is φ = 1079930880.

The previous prime is 4896717827. The next prime is 4896717841. The reversal of 4896717840 is 487176984.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4896717841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14530152 + ... + 14530488.

It is an arithmetic number, because the mean of its divisors is an integer number (41618616).

Almost surely, 2^4896717840 is an apocalyptic number.

4896717840 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 4896717840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9988467840).

4896717840 is an abundant number, since it is smaller than the sum of its proper divisors (15080217840).

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

4896717840 is a wasteful number, since it uses less digits than its factorization.

4896717840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 4896717840 is about 69976.5520728194. The cubic root of 4896717840 is about 1698.1199330937.

The spelling of 4896717840 in words is "four billion, eight hundred ninety-six million, seven hundred seventeen thousand, eight hundred forty".