4662763560 has 288 divisors, whose sum is σ = 18985042440. Its totient is φ = 983743488.

The previous prime is 4662763549. The next prime is 4662763597. The reversal of 4662763560 is 653672664.

4662763560 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 7 + 635 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4091649156 + 571114404 = 63966^2 + 23898^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 219154 + ... + 239486.

Almost surely, 2^4662763560 is an apocalyptic number.

4662763560 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 4662763560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9492521220).

4662763560 is an abundant number, since it is smaller than the sum of its proper divisors (14322278880).

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

4662763560 is a wasteful number, since it uses less digits than its factorization.

4662763560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20377 (or 20363 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 4662763560 is about 68284.4313149052. The cubic root of 4662763560 is about 1670.6332903596.

The spelling of 4662763560 in words is "four billion, six hundred sixty-two million, seven hundred sixty-three thousand, five hundred sixty".