4836166746768 has 240 divisors, whose sum is σ = 16169149235200. Its totient is φ = 1320261845760.

The previous prime is 4836166746731. The next prime is 4836166746797. The reversal of 4836166746768 is 8676476616384.

4836166746768 is a `hidden beast` number, since 4 + 8 + 36 + 16 + 67 + 467 + 68 = 666.

It is a hoax number, since the sum of its digits (72) 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 (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4836166746696 and 4836166746705.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1489053 + ... + 3448131.

Almost surely, 2^{4836166746768} is an apocalyptic number.

4836166746768 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 4836166746768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8084574617600).

4836166746768 is an abundant number, since it is smaller than the sum of its proper divisors (11332982488432).

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

4836166746768 is a wasteful number, since it uses less digits than its factorization.

4836166746768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959210 (or 1959201 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 4836166746768 in words is "four trillion, eight hundred thirty-six billion, one hundred sixty-six million, seven hundred forty-six thousand, seven hundred sixty-eight".