4634764689408 has 480 divisors, whose sum is σ = 15438459875328. Its totient is φ = 1206072115200.

The previous prime is 4634764689389. The next prime is 4634764689463. The reversal of 4634764689408 is 8049864674364.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181308948 + ... + 181334508.

Almost surely, 2^{4634764689408} is an apocalyptic number.

4634764689408 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 4634764689408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7719229937664).

4634764689408 is an abundant number, since it is smaller than the sum of its proper divisors (10803695185920).

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

4634764689408 is a wasteful number, since it uses less digits than its factorization.

4634764689408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25647 (or 25621 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 69.

The spelling of 4634764689408 in words is "four trillion, six hundred thirty-four billion, seven hundred sixty-four million, six hundred eighty-nine thousand, four hundred eight".