4945469760 has 672 divisors, whose sum is σ = 21967545600. Its totient is φ = 990904320.

The previous prime is 4945469743. The next prime is 4945469791. The reversal of 4945469760 is 679645494.

It is a happy number.

4945469760 is a `hidden beast` number, since 4 + 9 + 4 + 546 + 97 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4945469760² = 48915342294148915200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4945469697 and 4945469706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6430656 + ... + 6431424.

It is an arithmetic number, because the mean of its divisors is an integer number (32689800).

Almost surely, 2^4945469760 is an apocalyptic number.

4945469760 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 4945469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10983772800).

4945469760 is an abundant number, since it is smaller than the sum of its proper divisors (17022075840).

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

4945469760 is a wasteful number, since it uses less digits than its factorization.

4945469760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 4945469760 is about 70324.0340139842. The cubic root of 4945469760 is about 1703.7368501922.

The spelling of 4945469760 in words is "four billion, nine hundred forty-five million, four hundred sixty-nine thousand, seven hundred sixty".