4920244560 has 960 divisors, whose sum is σ = 22618552320. Its totient is φ = 962979840.

The previous prime is 4920244547. The next prime is 4920244573. The reversal of 4920244560 is 654420294.

4920244560 is a `hidden beast` number, since 4 + 9 + 202 + 445 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4920244547) and next prime (4920244573).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28440634 + ... + 28440806.

It is an arithmetic number, because the mean of its divisors is an integer number (23560992).

Almost surely, 2^4920244560 is an apocalyptic number.

4920244560 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 4920244560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11309276160).

4920244560 is an abundant number, since it is smaller than the sum of its proper divisors (17698307760).

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

4920244560 is a wasteful number, since it uses less digits than its factorization.

4920244560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4920244560 is about 70144.4549483421. The cubic root of 4920244560 is about 1700.8351790133.

The spelling of 4920244560 in words is "four billion, nine hundred twenty million, two hundred forty-four thousand, five hundred sixty".