4607095680 has 768 divisors, whose sum is σ = 18903456000. Its totient is φ = 1021870080.

The previous prime is 4607095657. The next prime is 4607095687. The reversal of 4607095680 is 865907064.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4607095687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51765076 + ... + 51765164.

It is an arithmetic number, because the mean of its divisors is an integer number (24613875).

Almost surely, 2^4607095680 is an apocalyptic number.

4607095680 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 4607095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9451728000).

4607095680 is an abundant number, since it is smaller than the sum of its proper divisors (14296360320).

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

4607095680 is a wasteful number, since it uses less digits than its factorization.

4607095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4607095680 is about 67875.5897211951. The cubic root of 4607095680 is about 1663.9581935996.

The spelling of 4607095680 in words is "four billion, six hundred seven million, ninety-five thousand, six hundred eighty".