648418320 has 480 divisors, whose sum is σ = 2599833600. Its totient is φ = 143078400.

The previous prime is 648418297. The next prime is 648418343. The reversal of 648418320 is 23814846.

648418320 is a `hidden beast` number, since 648 + 4 + 1 + 8 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (648418297) and next prime (648418343).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4664811 + ... + 4664949.

It is an arithmetic number, because the mean of its divisors is an integer number (5416320).

Almost surely, 2^648418320 is an apocalyptic number.

648418320 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 648418320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299916800).

648418320 is an abundant number, since it is smaller than the sum of its proper divisors (1951415280).

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

648418320 is a wasteful number, since it uses less digits than its factorization.

648418320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 648418320 is about 25464.0593778761. The cubic root of 648418320 is about 865.5359125736.

The spelling of 648418320 in words is "six hundred forty-eight million, four hundred eighteen thousand, three hundred twenty".