4862649649968 has 800 divisors, whose sum is σ = 16822832412672. Its totient is φ = 1338765926400.

The previous prime is 4862649649877. The next prime is 4862649650017. The reversal of 4862649649968 is 8699469462684.

4862649649968 is a `hidden beast` number, since 4 + 8 + 6 + 2 + 64 + 9 + 6 + 499 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5506964055 + ... + 5506964937.

Almost surely, 2^{4862649649968} is an apocalyptic number.

4862649649968 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 4862649649968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8411416206336).

4862649649968 is an abundant number, since it is smaller than the sum of its proper divisors (11960182762704).

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

4862649649968 is a wasteful number, since it uses less digits than its factorization.

4862649649968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1680 counting only the distinct ones).

The product of its digits is 7739670528, while the sum is 81.

The spelling of 4862649649968 in words is "four trillion, eight hundred sixty-two billion, six hundred forty-nine million, six hundred forty-nine thousand, nine hundred sixty-eight".