4795277760 has 1120 divisors, whose sum is σ = 22305507840. Its totient is φ = 949542912.

The previous prime is 4795277743. The next prime is 4795277761. The reversal of 4795277760 is 677725974.

4795277760 is a `hidden beast` number, since 47 + 9 + 527 + 7 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 = 4795277697 and 4795277706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4795277761) 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 159 ways as a sum of consecutive naturals, for example, 44815627 + ... + 44815733.

It is an arithmetic number, because the mean of its divisors is an integer number (19915632).

Almost surely, 2^4795277760 is an apocalyptic number.

4795277760 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 4795277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11152753920).

4795277760 is an abundant number, since it is smaller than the sum of its proper divisors (17510230080).

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

4795277760 is a wasteful number, since it uses less digits than its factorization.

4795277760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The square root of 4795277760 is about 69247.9440850052. The cubic root of 4795277760 is about 1686.3119697276.

The spelling of 4795277760 in words is "four billion, seven hundred ninety-five million, two hundred seventy-seven thousand, seven hundred sixty".