4694405760 has 256 divisors, whose sum is σ = 18138211200. Its totient is φ = 1137991680.

The previous prime is 4694405759. The next prime is 4694405773. The reversal of 4694405760 is 675044964.

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

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, 177732 + ... + 202428.

Almost surely, 2^4694405760 is an apocalyptic number.

4694405760 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 4694405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069105600).

4694405760 is an abundant number, since it is smaller than the sum of its proper divisors (13443805440).

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

4694405760 is a wasteful number, since it uses less digits than its factorization.

4694405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24736 (or 24718 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4694405760 is about 68515.7336675307. The cubic root of 4694405760 is about 1674.4038285259.

The spelling of 4694405760 in words is "four billion, six hundred ninety-four million, four hundred five thousand, seven hundred sixty".