4767736680 has 256 divisors, whose sum is σ = 18326822400. Its totient is φ = 1079930880.

The previous prime is 4767736661. The next prime is 4767736681. The reversal of 4767736680 is 866377674.

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

It is not an unprimeable number, because it can be changed into a prime (4767736681) 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, 851490 + ... + 857070.

It is an arithmetic number, because the mean of its divisors is an integer number (71589150).

Almost surely, 2^4767736680 is an apocalyptic number.

4767736680 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 4767736680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9163411200).

4767736680 is an abundant number, since it is smaller than the sum of its proper divisors (13559085720).

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

4767736680 is a wasteful number, since it uses less digits than its factorization.

4767736680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5721 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The square root of 4767736680 is about 69048.7992654470. The cubic root of 4767736680 is about 1683.0773951527.

The spelling of 4767736680 in words is "four billion, seven hundred sixty-seven million, seven hundred thirty-six thousand, six hundred eighty".