654412880160 has 1152 divisors, whose sum is σ = 2667893469696. Its totient is φ = 150214901760.

The previous prime is 654412880153. The next prime is 654412880171. The reversal of 654412880160 is 61088214456.

It is a happy number.

654412880160 is a `hidden beast` number, since 6 + 544 + 1 + 28 + 80 + 1 + 6 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 476629234 + ... + 476630606.

It is an arithmetic number, because the mean of its divisors is an integer number (2315879748).

Almost surely, 2^654412880160 is an apocalyptic number.

654412880160 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 654412880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333946734848).

654412880160 is an abundant number, since it is smaller than the sum of its proper divisors (2013480589536).

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

654412880160 is a wasteful number, since it uses less digits than its factorization.

654412880160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 654412880160 in words is "six hundred fifty-four billion, four hundred twelve million, eight hundred eighty thousand, one hundred sixty".