4953632136768 has 336 divisors, whose sum is σ = 16403831982720. Its totient is φ = 1399923965952.

The previous prime is 4953632136751. The next prime is 4953632136799. The reversal of 4953632136768 is 8676312363594.

4953632136768 is a `hidden beast` number, since 4 + 9 + 536 + 3 + 2 + 1 + 36 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 1102519930 + ... + 1102524422.

It is an arithmetic number, because the mean of its divisors is an integer number (48820928520).

Almost surely, 2^{4953632136768} is an apocalyptic number.

4953632136768 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 4953632136768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8201915991360).

4953632136768 is an abundant number, since it is smaller than the sum of its proper divisors (11450199845952).

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

4953632136768 is a wasteful number, since it uses less digits than its factorization.

4953632136768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7434 (or 7421 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 4953632136768 in words is "four trillion, nine hundred fifty-three billion, six hundred thirty-two million, one hundred thirty-six thousand, seven hundred sixty-eight".