4787455680 has 672 divisors, whose sum is σ = 20341376640. Its totient is φ = 1008599040.

The previous prime is 4787455679. The next prime is 4787455711. The reversal of 4787455680 is 865547874.

4787455680 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 4 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×4787455680³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20905806 + ... + 20906034.

Almost surely, 2^4787455680 is an apocalyptic number.

4787455680 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 4787455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10170688320).

4787455680 is an abundant number, since it is smaller than the sum of its proper divisors (15553920960).

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

4787455680 is a wasteful number, since it uses less digits than its factorization.

4787455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The square root of 4787455680 is about 69191.4422454107. The cubic root of 4787455680 is about 1685.3945640063.

The spelling of 4787455680 in words is "four billion, seven hundred eighty-seven million, four hundred fifty-five thousand, six hundred eighty".