4655468160 has 768 divisors, whose sum is σ = 19858176000. Its totient is φ = 981393408.

The previous prime is 4655468117. The next prime is 4655468177. The reversal of 4655468160 is 618645564.

4655468160 is a `hidden beast` number, since 46 + 5 + 546 + 8 + 1 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45198669 + ... + 45198771.

It is an arithmetic number, because the mean of its divisors is an integer number (25857000).

Almost surely, 2^4655468160 is an apocalyptic number.

4655468160 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 4655468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9929088000).

4655468160 is an abundant number, since it is smaller than the sum of its proper divisors (15202707840).

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

4655468160 is a wasteful number, since it uses less digits than its factorization.

4655468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 4655468160 is about 68230.9911990145. The cubic root of 4655468160 is about 1669.7615398100.

The spelling of 4655468160 in words is "four billion, six hundred fifty-five million, four hundred sixty-eight thousand, one hundred sixty".