4921808640 has 576 divisors, whose sum is σ = 19779379200. Its totient is φ = 1017004032.

The previous prime is 4921808623. The next prime is 4921808687. The reversal of 4921808640 is 468081294.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4921808592 and 4921808601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11746351 + ... + 11746769.

It is an arithmetic number, because the mean of its divisors is an integer number (34339200).

Almost surely, 2^4921808640 is an apocalyptic number.

4921808640 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 4921808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9889689600).

4921808640 is an abundant number, since it is smaller than the sum of its proper divisors (14857570560).

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

4921808640 is a wasteful number, since it uses less digits than its factorization.

4921808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 4921808640 is about 70155.6030549236. The cubic root of 4921808640 is about 1701.0153841785.

The spelling of 4921808640 in words is "four billion, nine hundred twenty-one million, eight hundred eight thousand, six hundred forty".