4768727040 has 816 divisors, whose sum is σ = 21516615360. Its totient is φ = 990904320.

The previous prime is 4768727023. The next prime is 4768727059. The reversal of 4768727040 is 407278674.

4768727040 is a `hidden beast` number, since 476 + 8 + 72 + 70 + 40 = 666.

It is a super-3 number, since 3×4768727040³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 433520635 + ... + 433520645.

Almost surely, 2^4768727040 is an apocalyptic number.

4768727040 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 4768727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10758307680).

4768727040 is an abundant number, since it is smaller than the sum of its proper divisors (16747888320).

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

4768727040 is an equidigital number, since it uses as much as digits as its factorization.

4768727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 4768727040 is about 69055.9703429037. The cubic root of 4768727040 is about 1683.1939240385.

The spelling of 4768727040 in words is "four billion, seven hundred sixty-eight million, seven hundred twenty-seven thousand, forty".