4765683057408 has 864 divisors, whose sum is σ = 17603784844800. Its totient is φ = 1245119496192.

The previous prime is 4765683057397. The next prime is 4765683057413. The reversal of 4765683057408 is 8047503865674.

4765683057408 is a `hidden beast` number, since 4 + 7 + 6 + 56 + 8 + 3 + 0 + 574 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 891278991 + ... + 891284337.

Almost surely, 2^{4765683057408} is an apocalyptic number.

4765683057408 is a gapful number since it is divisible by the number (48) 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 4765683057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8801892422400).

4765683057408 is an abundant number, since it is smaller than the sum of its proper divisors (12838101787392).

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

4765683057408 is a wasteful number, since it uses less digits than its factorization.

4765683057408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 4765683057408 in words is "four trillion, seven hundred sixty-five billion, six hundred eighty-three million, fifty-seven thousand, four hundred eight".