4578416640 has 576 divisors, whose sum is σ = 18643322880. Its totient is φ = 1017446400.

The previous prime is 4578416621. The next prime is 4578416653. The reversal of 4578416640 is 466148754.

4578416640 is a `hidden beast` number, since 4 + 578 + 4 + 16 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 30320565 + ... + 30320715.

It is an arithmetic number, because the mean of its divisors is an integer number (32366880).

Almost surely, 2^4578416640 is an apocalyptic number.

4578416640 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 4578416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9321661440).

4578416640 is an abundant number, since it is smaller than the sum of its proper divisors (14064906240).

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

4578416640 is a wasteful number, since it uses less digits than its factorization.

4578416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 215 counting only the distinct ones).

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

The square root of 4578416640 is about 67663.9981082998. The cubic root of 4578416640 is about 1660.4983068774.

The spelling of 4578416640 in words is "four billion, five hundred seventy-eight million, four hundred sixteen thousand, six hundred forty".