654828840960 has 768 divisors, whose sum is σ = 2533453977600. Its totient is φ = 141055229952.

The previous prime is 654828840947. The next prime is 654828840983. The reversal of 654828840960 is 69048828456.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 654828840894 and 654828840903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1197127407 + ... + 1197127953.

It is an arithmetic number, because the mean of its divisors is an integer number (3298768200).

Almost surely, 2^654828840960 is an apocalyptic number.

654828840960 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 654828840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266726988800).

654828840960 is an abundant number, since it is smaller than the sum of its proper divisors (1878625136640).

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

654828840960 is a wasteful number, since it uses less digits than its factorization.

654828840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 654828840960 in words is "six hundred fifty-four billion, eight hundred twenty-eight million, eight hundred forty thousand, nine hundred sixty".