646052397120 has 448 divisors, whose sum is σ = 2484783732480. Its totient is φ = 159026042880.

The previous prime is 646052397059. The next prime is 646052397121. The reversal of 646052397120 is 21793250646.

646052397120 is a `hidden beast` number, since 6 + 4 + 605 + 2 + 39 + 7 + 1 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (646052397121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9062415 + ... + 9133425.

It is an arithmetic number, because the mean of its divisors is an integer number (5546392260).

Almost surely, 2^646052397120 is an apocalyptic number.

646052397120 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 646052397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242391866240).

646052397120 is an abundant number, since it is smaller than the sum of its proper divisors (1838731335360).

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

646052397120 is an equidigital number, since it uses as much as digits as its factorization.

646052397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71062 (or 71034 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 646052397120 in words is "six hundred forty-six billion, fifty-two million, three hundred ninety-seven thousand, one hundred twenty".