606025728000 has 2160 divisors, whose sum is σ = 2818074194208. Its totient is φ = 123863040000.

The previous prime is 606025727999. The next prime is 606025728017. The reversal of 606025728000 is 827520606.

606025728000 is a `hidden beast` number, since 6 + 0 + 6 + 0 + 2 + 572 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9934847970 + ... + 9934848030.

Almost surely, 2^606025728000 is an apocalyptic number.

606025728000 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 606025728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409037097104).

606025728000 is an abundant number, since it is smaller than the sum of its proper divisors (2212048466208).

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

606025728000 is a wasteful number, since it uses less digits than its factorization.

606025728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

It can be divided in two parts, 606025 and 728000, that added together give a square (1334025 = 1155²).

The spelling of 606025728000 in words is "six hundred six billion, twenty-five million, seven hundred twenty-eight thousand".