4799662560 has 768 divisors, whose sum is σ = 21459271680. Its totient is φ = 972933120.

The previous prime is 4799662559. The next prime is 4799662589. The reversal of 4799662560 is 652669974.

4799662560 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 6 + 625 + 6 + 0 = 666.

It is a super-3 number, since 3×4799662560³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 4799662497 and 4799662506.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 15633927 + ... + 15634233.

It is an arithmetic number, because the mean of its divisors is an integer number (27941760).

Almost surely, 2^4799662560 is an apocalyptic number.

4799662560 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 4799662560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10729635840).

4799662560 is an abundant number, since it is smaller than the sum of its proper divisors (16659609120).

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

4799662560 is a wasteful number, since it uses less digits than its factorization.

4799662560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 4799662560 is about 69279.5969965184. The cubic root of 4799662560 is about 1686.8258007996.

The spelling of 4799662560 in words is "four billion, seven hundred ninety-nine million, six hundred sixty-two thousand, five hundred sixty".