4736455680 has 528 divisors, whose sum is σ = 17736780096. Its totient is φ = 1069547520.

The previous prime is 4736455649. The next prime is 4736455733. The reversal of 4736455680 is 865546374.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 48829392 + ... + 48829488.

Almost surely, 2^4736455680 is an apocalyptic number.

4736455680 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 4736455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8868390048).

4736455680 is an abundant number, since it is smaller than the sum of its proper divisors (13000324416).

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

4736455680 is a wasteful number, since it uses less digits than its factorization.

4736455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The square root of 4736455680 is about 68821.9127894597. The cubic root of 4736455680 is about 1679.3884395358.

The spelling of 4736455680 in words is "four billion, seven hundred thirty-six million, four hundred fifty-five thousand, six hundred eighty".