4768868448720 has 320 divisors, whose sum is σ = 16635402766080. Its totient is φ = 1271200573440.

The previous prime is 4768868448709. The next prime is 4768868448727. The reversal of 4768868448720 is 278448688674.

It is a happy number.

4768868448720 is a `hidden beast` number, since 4 + 7 + 6 + 88 + 68 + 4 + 487 + 2 + 0 = 666.

It is a super-3 number, since 3×4768868448720³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768868448727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 742002147 + ... + 742008573.

It is an arithmetic number, because the mean of its divisors is an integer number (51985633644).

Almost surely, 2^{4768868448720} is an apocalyptic number.

4768868448720 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 4768868448720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8317701383040).

4768868448720 is an abundant number, since it is smaller than the sum of its proper divisors (11866534317360).

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

4768868448720 is an equidigital number, since it uses as much as digits as its factorization.

4768868448720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10702 (or 10678 counting only the distinct ones).

The product of its (nonzero) digits is 924844032, while the sum is 72.

The spelling of 4768868448720 in words is "four trillion, seven hundred sixty-eight billion, eight hundred sixty-eight million, four hundred forty-eight thousand, seven hundred twenty".