654134382720 has 2688 divisors, whose sum is σ = 3074659015680. Its totient is φ = 131681894400.

The previous prime is 654134382719. The next prime is 654134382743. The reversal of 654134382720 is 27283431456.

654134382720 is a `hidden beast` number, since 6 + 541 + 3 + 4 + 3 + 82 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 9213160285 + ... + 9213160355.

It is an arithmetic number, because the mean of its divisors is an integer number (1143846360).

Almost surely, 2^654134382720 is an apocalyptic number.

654134382720 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 654134382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537329507840).

654134382720 is an abundant number, since it is smaller than the sum of its proper divisors (2420524632960).

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

654134382720 is a wasteful number, since it uses less digits than its factorization.

654134382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 654134382720 in words is "six hundred fifty-four billion, one hundred thirty-four million, three hundred eighty-two thousand, seven hundred twenty".