4736088604640 has 192 divisors, whose sum is σ = 11908736199360. Its totient is φ = 1776521134080.

The previous prime is 4736088604613. The next prime is 4736088604717. The reversal of 4736088604640 is 464068806374.

It is a super-3 number, since 3×4736088604640³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98005124 + ... + 98053436.

It is an arithmetic number, because the mean of its divisors is an integer number (62024667705).

Almost surely, 2^{4736088604640} is an apocalyptic number.

4736088604640 is a gapful number since it is divisible by the number (40) 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 4736088604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5954368099680).

4736088604640 is an abundant number, since it is smaller than the sum of its proper divisors (7172647594720).

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

4736088604640 is a wasteful number, since it uses less digits than its factorization.

4736088604640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48965 (or 48957 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 56.

The spelling of 4736088604640 in words is "four trillion, seven hundred thirty-six billion, eighty-eight million, six hundred four thousand, six hundred forty".