4277538720 has 1008 divisors, whose sum is σ = 19355438592. Its totient is φ = 873400320.

The previous prime is 4277538719. The next prime is 4277538743. The reversal of 4277538720 is 278357724.

4277538720 is a `hidden beast` number, since 42 + 7 + 7 + 538 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 137985105 + ... + 137985135.

It is an arithmetic number, because the mean of its divisors is an integer number (19201824).

Almost surely, 2^4277538720 is an apocalyptic number.

4277538720 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 4277538720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9677719296).

4277538720 is an abundant number, since it is smaller than the sum of its proper divisors (15077899872).

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

4277538720 is a wasteful number, since it uses less digits than its factorization.

4277538720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 4277538720 is about 65402.8953487535. The cubic root of 4277538720 is about 1623.2969891902.

The spelling of 4277538720 in words is "four billion, two hundred seventy-seven million, five hundred thirty-eight thousand, seven hundred twenty".