4920514560 has 576 divisors, whose sum is σ = 19359194400. Its totient is φ = 1178468352.

The previous prime is 4920514559. The next prime is 4920514619. The reversal of 4920514560 is 654150294.

4920514560 is a `hidden beast` number, since 4 + 92 + 0 + 5 + 1 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4920514560² = 48422927070343987200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 132986862 + ... + 132986898.

Almost surely, 2^4920514560 is an apocalyptic number.

4920514560 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 4920514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9679597200).

4920514560 is an abundant number, since it is smaller than the sum of its proper divisors (14438679840).

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

4920514560 is a wasteful number, since it uses less digits than its factorization.

4920514560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4920514560 is about 70146.3795216831. The cubic root of 4920514560 is about 1700.8662897364.

The spelling of 4920514560 in words is "four billion, nine hundred twenty million, five hundred fourteen thousand, five hundred sixty".