4919635760 has 80 divisors (see below), whose sum is σ = 12466639584. Its totient is φ = 1794564096.

The previous prime is 4919635753. The next prime is 4919635769. The reversal of 4919635760 is 675369194.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4919635760² = 48405632022141555200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4919635699 and 4919635708.

It is not an unprimeable number, because it can be changed into a prime (4919635769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57824 + ... + 114816.

Almost surely, 2^4919635760 is an apocalyptic number.

4919635760 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 4919635760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233319792).

4919635760 is an abundant number, since it is smaller than the sum of its proper divisors (7547003824).

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

4919635760 is a wasteful number, since it uses less digits than its factorization.

4919635760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57102 (or 57096 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 50.

The square root of 4919635760 is about 70140.1151980805. The cubic root of 4919635760 is about 1700.7650259172.

The spelling of 4919635760 in words is "four billion, nine hundred nineteen million, six hundred thirty-five thousand, seven hundred sixty".