4935466080 has 288 divisors, whose sum is σ = 17760925728. Its totient is φ = 1293926400.

The previous prime is 4935466069. The next prime is 4935466093. The reversal of 4935466080 is 806645394.

4935466080 is a `hidden beast` number, since 4 + 9 + 35 + 4 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2370640 + ... + 2372720.

It is an arithmetic number, because the mean of its divisors is an integer number (61669881).

Almost surely, 2^4935466080 is an apocalyptic number.

4935466080 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 4935466080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8880462864).

4935466080 is an abundant number, since it is smaller than the sum of its proper divisors (12825459648).

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

4935466080 is a wasteful number, since it uses less digits than its factorization.

4935466080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4935466080 is about 70252.8723967924. The cubic root of 4935466080 is about 1702.5873036408.

The spelling of 4935466080 in words is "four billion, nine hundred thirty-five million, four hundred sixty-six thousand, eighty".