4475920680 has 720 divisors, whose sum is σ = 19318359060. Its totient is φ = 926069760.

The previous prime is 4475920661. The next prime is 4475920699. The reversal of 4475920680 is 860295744.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4475920661) and next prime (4475920699).

It can be written as a sum of positive squares in 2 ways, for example, as 4243480164 + 232440516 = 65142^2 + 15246^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 19209844 + ... + 19210076.

Almost surely, 2^4475920680 is an apocalyptic number.

4475920680 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 4475920680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9659179530).

4475920680 is an abundant number, since it is smaller than the sum of its proper divisors (14842438380).

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

4475920680 is a wasteful number, since it uses less digits than its factorization.

4475920680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4475920680 is about 66902.3219327999. The cubic root of 4475920680 is about 1648.0136095979.

The spelling of 4475920680 in words is "four billion, four hundred seventy-five million, nine hundred twenty thousand, six hundred eighty".