4696368768 has 512 divisors, whose sum is σ = 17341632000. Its totient is φ = 1218281472.

The previous prime is 4696368767. The next prime is 4696368791. The reversal of 4696368768 is 8678636964.

4696368768 is a `hidden beast` number, since 469 + 6 + 36 + 87 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4696368767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34279996 + ... + 34280132.

It is an arithmetic number, because the mean of its divisors is an integer number (33870375).

Almost surely, 2^4696368768 is an apocalyptic number.

4696368768 is a gapful number since it is divisible by the number (48) 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 4696368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8670816000).

4696368768 is an abundant number, since it is smaller than the sum of its proper divisors (12645263232).

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

4696368768 is a wasteful number, since it uses less digits than its factorization.

4696368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 271 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The square root of 4696368768 is about 68530.0574054918. The cubic root of 4696368768 is about 1674.6371850103.

The spelling of 4696368768 in words is "four billion, six hundred ninety-six million, three hundred sixty-eight thousand, seven hundred sixty-eight".