4935490560 has 1056 divisors, whose sum is σ = 23175839232. Its totient is φ = 937820160.

The previous prime is 4935490537. The next prime is 4935490561. The reversal of 4935490560 is 650945394.

4935490560 is a `hidden beast` number, since 49 + 3 + 5 + 49 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×4935490560² = 48718134135698227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4935490561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46126027 + ... + 46126133.

Almost surely, 2^4935490560 is an apocalyptic number.

4935490560 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 4935490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11587919616).

4935490560 is an abundant number, since it is smaller than the sum of its proper divisors (18240348672).

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

4935490560 is a wasteful number, since it uses less digits than its factorization.

4935490560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 4935490560 is about 70253.0466243280. The cubic root of 4935490560 is about 1702.5901185906.

The spelling of 4935490560 in words is "four billion, nine hundred thirty-five million, four hundred ninety thousand, five hundred sixty".