4635836950752 has 144 divisors (see below), whose sum is σ = 15068050818912. Its totient is φ = 1324385879040.

The previous prime is 4635836950751. The next prime is 4635836950769. The reversal of 4635836950752 is 2570596385364.

It is a happy number.

4635836950752 is a `hidden beast` number, since 4 + 63 + 5 + 8 + 3 + 69 + 507 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4635836950752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4635836950751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19925398 + ... + 20156714.

It is an arithmetic number, because the mean of its divisors is an integer number (104639241798).

Almost surely, 2^{4635836950752} is an apocalyptic number.

4635836950752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4635836950752 is an abundant number, since it is smaller than the sum of its proper divisors (10432213868160).

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

4635836950752 is a wasteful number, since it uses less digits than its factorization.

4635836950752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241281 (or 241270 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 4635836950752 in words is "four trillion, six hundred thirty-five billion, eight hundred thirty-six million, nine hundred fifty thousand, seven hundred fifty-two".