654233448960 has 2160 divisors, whose sum is σ = 2983075070976. Its totient is φ = 136949170176.

The previous prime is 654233448937. The next prime is 654233448991. The reversal of 654233448960 is 69844332456.

654233448960 is a `hidden beast` number, since 6 + 54 + 23 + 34 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 654233448897 and 654233448906.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5151444417 + ... + 5151444543.

Almost surely, 2^654233448960 is an apocalyptic number.

654233448960 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 654233448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491537535488).

654233448960 is an abundant number, since it is smaller than the sum of its proper divisors (2328841622016).

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

654233448960 is a wasteful number, since it uses less digits than its factorization.

654233448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 654233448960 in words is "six hundred fifty-four billion, two hundred thirty-three million, four hundred forty-eight thousand, nine hundred sixty".