4695684480 has 256 divisors, whose sum is σ = 16695360000. Its totient is φ = 1247311872.

The previous prime is 4695684451. The next prime is 4695684509. The reversal of 4695684480 is 844865964.

4695684480 is a `hidden beast` number, since 469 + 5 + 68 + 44 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4695684451) and next prime (4695684509).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 7585611 + ... + 7586229.

It is an arithmetic number, because the mean of its divisors is an integer number (65216250).

Almost surely, 2^4695684480 is an apocalyptic number.

4695684480 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 4695684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8347680000).

4695684480 is an abundant number, since it is smaller than the sum of its proper divisors (11999675520).

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

4695684480 is a wasteful number, since it uses less digits than its factorization.

4695684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 4695684480 is about 68525.0646114252. The cubic root of 4695684480 is about 1674.5558462961. Note that the first 3 decimals are identical.

The spelling of 4695684480 in words is "four billion, six hundred ninety-five million, six hundred eighty-four thousand, four hundred eighty".