4978609920 has 360 divisors, whose sum is σ = 18400905600. Its totient is φ = 1283973120.

The previous prime is 4978609907. The next prime is 4978609927. The reversal of 4978609920 is 299068794.

4978609920 is a `hidden beast` number, since 4 + 9 + 7 + 8 + 609 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4978609927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3213306 + ... + 3214854.

Almost surely, 2^4978609920 is an apocalyptic number.

4978609920 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 4978609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9200452800).

4978609920 is an abundant number, since it is smaller than the sum of its proper divisors (13422295680).

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

4978609920 is a wasteful number, since it uses less digits than its factorization.

4978609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 4978609920 is about 70559.2653022975. The cubic root of 4978609920 is about 1707.5340263479.

The spelling of 4978609920 in words is "four billion, nine hundred seventy-eight million, six hundred nine thousand, nine hundred twenty".