458050747680 has 288 divisors, whose sum is σ = 1579528641600. Its totient is φ = 120868816896.

The previous prime is 458050747673. The next prime is 458050747709. The reversal of 458050747680 is 86747050854.

458050747680 is a `hidden beast` number, since 4 + 58 + 0 + 507 + 4 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 63447111 + ... + 63454329.

It is an arithmetic number, because the mean of its divisors is an integer number (5484474450).

Almost surely, 2^458050747680 is an apocalyptic number.

458050747680 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 458050747680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789764320800).

458050747680 is an abundant number, since it is smaller than the sum of its proper divisors (1121477893920).

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

458050747680 is a wasteful number, since it uses less digits than its factorization.

458050747680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7696 (or 7685 counting only the distinct ones).

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

The spelling of 458050747680 in words is "four hundred fifty-eight billion, fifty million, seven hundred forty-seven thousand, six hundred eighty".