4945171680 has 72 divisors (see below), whose sum is σ = 16875403272. Its totient is φ = 1318712064.

The previous prime is 4945171601. The next prime is 4945171681. The reversal of 4945171680 is 861715494.

4945171680 is a `hidden beast` number, since 49 + 4 + 517 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (4945171681) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1715634 + ... + 1718513.

It is an arithmetic number, because the mean of its divisors is an integer number (234380601).

Almost surely, 2^4945171680 is an apocalyptic number.

4945171680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4945171680 is an abundant number, since it is smaller than the sum of its proper divisors (11930231592).

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

4945171680 is a wasteful number, since it uses less digits than its factorization.

4945171680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434168 (or 3434157 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 4945171680 is about 70321.9146497022. The cubic root of 4945171680 is about 1703.7026195321.

The spelling of 4945171680 in words is "four billion, nine hundred forty-five million, one hundred seventy-one thousand, six hundred eighty".