6458146920 has 96 divisors (see below), whose sum is σ = 21666078720. Its totient is φ = 1666615680.

The previous prime is 6458146913. The next prime is 6458146927. The reversal of 6458146920 is 296418546.

6458146920 is a `hidden beast` number, since 6 + 4 + 581 + 4 + 69 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6458146913) and next prime (6458146927).

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

It is not an unprimeable number, because it can be changed into a prime (6458146927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278184 + ... + 300503.

It is an arithmetic number, because the mean of its divisors is an integer number (225688320).

Almost surely, 2^6458146920 is an apocalyptic number.

6458146920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6458146920 is an abundant number, since it is smaller than the sum of its proper divisors (15207931800).

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

6458146920 is a wasteful number, since it uses less digits than its factorization.

6458146920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578735 (or 578728 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6458146920 is about 80362.5965235071. The cubic root of 6458146920 is about 1862.2413839677.

The spelling of 6458146920 in words is "six billion, four hundred fifty-eight million, one hundred forty-six thousand, nine hundred twenty".