4758063840 has 144 divisors (see below), whose sum is σ = 16675914528. Its totient is φ = 1234510848.

The previous prime is 4758063829. The next prime is 4758063883. The reversal of 4758063840 is 483608574.

4758063840 is a `hidden beast` number, since 4 + 7 + 5 + 8 + 0 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 8629 + ... + 97931.

It is an arithmetic number, because the mean of its divisors is an integer number (115804962).

Almost surely, 2^4758063840 is an apocalyptic number.

4758063840 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 4758063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8337957264).

4758063840 is an abundant number, since it is smaller than the sum of its proper divisors (11917850688).

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

4758063840 is a wasteful number, since it uses less digits than its factorization.

4758063840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89361 (or 89350 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4758063840 is about 68978.7201968839. The cubic root of 4758063840 is about 1681.9384088335.

The spelling of 4758063840 in words is "four billion, seven hundred fifty-eight million, sixty-three thousand, eight hundred forty".