658272420000 has 1680 divisors, whose sum is σ = 2746594908288. Its totient is φ = 153964800000.

The previous prime is 658272419989. The next prime is 658272420011. The reversal of 658272420000 is 24272856.

658272420000 is a `hidden beast` number, since 6 + 582 + 72 + 4 + 2 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (658272419989) and next prime (658272420011).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 4359419925 + ... + 4359420075.

Almost surely, 2^658272420000 is an apocalyptic number.

658272420000 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 658272420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373297454144).

658272420000 is an abundant number, since it is smaller than the sum of its proper divisors (2088322488288).

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

658272420000 is a wasteful number, since it uses less digits than its factorization.

658272420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 658272420000 its reverse (24272856), we get a palindrome (658296692856).

The spelling of 658272420000 in words is "six hundred fifty-eight billion, two hundred seventy-two million, four hundred twenty thousand".