4965365760 has 384 divisors, whose sum is σ = 17171481600. Its totient is φ = 1220935680.

The previous prime is 4965365731. The next prime is 4965365773. The reversal of 4965365760 is 675635694.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27432870 + ... + 27433050.

It is an arithmetic number, because the mean of its divisors is an integer number (44717400).

Almost surely, 2^4965365760 is an apocalyptic number.

4965365760 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 4965365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8585740800).

4965365760 is an abundant number, since it is smaller than the sum of its proper divisors (12206115840).

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

4965365760 is a wasteful number, since it uses less digits than its factorization.

4965365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The square root of 4965365760 is about 70465.3514856770. The cubic root of 4965365760 is about 1706.0185473058.

The spelling of 4965365760 in words is "four billion, nine hundred sixty-five million, three hundred sixty-five thousand, seven hundred sixty".