4667675760 has 320 divisors, whose sum is σ = 17668869120. Its totient is φ = 1123200000.

The previous prime is 4667675713. The next prime is 4667675777. The reversal of 4667675760 is 675767664.

4667675760 is a `hidden beast` number, since 4 + 6 + 6 + 7 + 67 + 576 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4667675697 and 4667675706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3587110 + ... + 3588410.

It is an arithmetic number, because the mean of its divisors is an integer number (55215216).

Almost surely, 2^4667675760 is an apocalyptic number.

4667675760 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 4667675760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8834434560).

4667675760 is an abundant number, since it is smaller than the sum of its proper divisors (13001193360).

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

4667675760 is a wasteful number, since it uses less digits than its factorization.

4667675760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The square root of 4667675760 is about 68320.3905141064. The cubic root of 4667675760 is about 1671.2197526295.

The spelling of 4667675760 in words is "four billion, six hundred sixty-seven million, six hundred seventy-five thousand, seven hundred sixty".