4647077568 has 560 divisors, whose sum is σ = 17277917184. Its totient is φ = 1209323520.

The previous prime is 4647077507. The next prime is 4647077579. The reversal of 4647077568 is 8657707464.

4647077568 is a `hidden beast` number, since 4 + 6 + 4 + 7 + 0 + 77 + 568 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 149905713 + ... + 149905743.

Almost surely, 2^4647077568 is an apocalyptic number.

4647077568 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 4647077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8638958592).

4647077568 is an abundant number, since it is smaller than the sum of its proper divisors (12630839616).

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

4647077568 is an frugal number, since it uses more digits than its factorization.

4647077568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The square root of 4647077568 is about 68169.4768059723. The cubic root of 4647077568 is about 1668.7577944845.

The spelling of 4647077568 in words is "four billion, six hundred forty-seven million, seventy-seven thousand, five hundred sixty-eight".