658764960 has 384 divisors, whose sum is σ = 2647572480. Its totient is φ = 134037504.

The previous prime is 658764949. The next prime is 658764961. The reversal of 658764960 is 69467856.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (658764961) 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, 1084977 + ... + 1085583.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2^658764960 is an apocalyptic number.

658764960 is a gapful number since it is divisible by the number (60) 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 658764960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323786240).

658764960 is an abundant number, since it is smaller than the sum of its proper divisors (1988807520).

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

658764960 is a wasteful number, since it uses less digits than its factorization.

658764960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 658764960 is about 25666.4169684824. The cubic root of 658764960 is about 870.1153500114.

The spelling of 658764960 in words is "six hundred fifty-eight million, seven hundred sixty-four thousand, nine hundred sixty".