4772768175360 has 288 divisors, whose sum is σ = 16964402676480. Its totient is φ = 1270656294912.

The previous prime is 4772768175317. The next prime is 4772768175379. The reversal of 4772768175360 is 635718672774.

4772768175360 is a `hidden beast` number, since 4 + 7 + 7 + 27 + 68 + 17 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4772768175360² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21072637 + ... + 21297923.

It is an arithmetic number, because the mean of its divisors is an integer number (58904175960).

Almost surely, 2^{4772768175360} is an apocalyptic number.

4772768175360 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 4772768175360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482201338240).

4772768175360 is an abundant number, since it is smaller than the sum of its proper divisors (12191634501120).

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

4772768175360 is a wasteful number, since it uses less digits than its factorization.

4772768175360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225930 (or 225910 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 4772768175360 in words is "four trillion, seven hundred seventy-two billion, seven hundred sixty-eight million, one hundred seventy-five thousand, three hundred sixty".