4694215680 has 1056 divisors, whose sum is σ = 21459110400. Its totient is φ = 975421440.

The previous prime is 4694215649. The next prime is 4694215681. The reversal of 4694215680 is 865124964.

4694215680 is a `hidden beast` number, since 4 + 69 + 4 + 21 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 (4694215681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 426746875 + ... + 426746885.

Almost surely, 2^4694215680 is an apocalyptic number.

4694215680 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 4694215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10729555200).

4694215680 is an abundant number, since it is smaller than the sum of its proper divisors (16764894720).

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

4694215680 is an equidigital number, since it uses as much as digits as its factorization.

4694215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4694215680 is about 68514.3465268406. The cubic root of 4694215680 is about 1674.3812289332.

The spelling of 4694215680 in words is "four billion, six hundred ninety-four million, two hundred fifteen thousand, six hundred eighty".