4768460064000 has 1152 divisors, whose sum is σ = 18137443484160. Its totient is φ = 1233027072000.

The previous prime is 4768460063971. The next prime is 4768460064001. The reversal of 4768460064000 is 4600648674.

4768460064000 is a `hidden beast` number, since 476 + 84 + 60 + 0 + 6 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×4768460064000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768460064001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8041247704 + ... + 8041248296.

It is an arithmetic number, because the mean of its divisors is an integer number (15744308580).

Almost surely, 2^{4768460064000} is an apocalyptic number.

4768460064000 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 4768460064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9068721742080).

4768460064000 is an abundant number, since it is smaller than the sum of its proper divisors (13368983420160).

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

4768460064000 is a wasteful number, since it uses less digits than its factorization.

4768460064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4768460064000 in words is "four trillion, seven hundred sixty-eight billion, four hundred sixty million, sixty-four thousand".