649716048312320 has 384 divisors, whose sum is σ = 1738194735513600. Its totient is φ = 231098292633600.

The previous prime is 649716048312259. The next prime is 649716048312329. The reversal of 649716048312320 is 23213840617946.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649716048312329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015355036 + ... + 1015994724.

It is an arithmetic number, because the mean of its divisors is an integer number (4526548790400).

Almost surely, 2^{649716048312320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649716048312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869097367756800).

649716048312320 is an abundant number, since it is smaller than the sum of its proper divisors (1088478687201280).

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

649716048312320 is a wasteful number, since it uses less digits than its factorization.

649716048312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639925 (or 639905 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 56.

The spelling of 649716048312320 in words is "six hundred forty-nine trillion, seven hundred sixteen billion, forty-eight million, three hundred twelve thousand, three hundred twenty".