649181770997760 has 5376 divisors, whose sum is σ = 3123089052475392. Its totient is φ = 120394874880000.

The previous prime is 649181770997729. The next prime is 649181770997777. The reversal of 649181770997760 is 67799077181946.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a self number, because there is not a number n which added to its sum of digits gives 649181770997760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2586381557635 + ... + 2586381557885.

It is an arithmetic number, because the mean of its divisors is an integer number (580931743392).

Almost surely, 2^{649181770997760} is an apocalyptic number.

649181770997760 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 649181770997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561544526237696).

649181770997760 is an abundant number, since it is smaller than the sum of its proper divisors (2473907281477632).

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

649181770997760 is a wasteful number, since it uses less digits than its factorization.

649181770997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2016379008, while the sum is 81.

The spelling of 649181770997760 in words is "six hundred forty-nine trillion, one hundred eighty-one billion, seven hundred seventy million, nine hundred ninety-seven thousand, seven hundred sixty".