4586768640 has 576 divisors, whose sum is σ = 17783781120. Its totient is φ = 1114767360.

The previous prime is 4586768621. The next prime is 4586768647. The reversal of 4586768640 is 468676854.

4586768640 is a `hidden beast` number, since 458 + 6 + 76 + 86 + 40 = 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 (54).

It is not an unprimeable number, because it can be changed into a prime (4586768647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21738135 + ... + 21738345.

It is an arithmetic number, because the mean of its divisors is an integer number (30874620).

Almost surely, 2^4586768640 is an apocalyptic number.

4586768640 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 4586768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8891890560).

4586768640 is an abundant number, since it is smaller than the sum of its proper divisors (13197012480).

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

4586768640 is a wasteful number, since it uses less digits than its factorization.

4586768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The square root of 4586768640 is about 67725.6867074820. The cubic root of 4586768640 is about 1661.5073935311.

The spelling of 4586768640 in words is "four billion, five hundred eighty-six million, seven hundred sixty-eight thousand, six hundred forty".