649877739698304 has 2304 divisors, whose sum is σ = 2264206466995200. Its totient is φ = 185033545482240.

The previous prime is 649877739698279. The next prime is 649877739698309. The reversal of 649877739698304 is 403896937778946.

649877739698304 is a `hidden beast` number, since 6 + 49 + 87 + 77 + 39 + 6 + 98 + 304 = 666.

It is not an unprimeable number, because it can be changed into a prime (649877739698309) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 533999785504 + ... + 533999786720.

It is an arithmetic number, because the mean of its divisors is an integer number (982728501300).

Almost surely, 2^{649877739698304} is an apocalyptic number.

649877739698304 is a gapful number since it is divisible by the number (64) 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 649877739698304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132103233497600).

649877739698304 is an abundant number, since it is smaller than the sum of its proper divisors (1614328727296896).

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

649877739698304 is a wasteful number, since it uses less digits than its factorization.

649877739698304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 82959593472, while the sum is 90.

The spelling of 649877739698304 in words is "six hundred forty-nine trillion, eight hundred seventy-seven billion, seven hundred thirty-nine million, six hundred ninety-eight thousand, three hundred four".