649767801600 has 324 divisors, whose sum is σ = 2325953926296. Its totient is φ = 173056081920.

The previous prime is 649767801589. The next prime is 649767801659. The reversal of 649767801600 is 6108767946.

It is a happy number.

649767801600 is a `hidden beast` number, since 6 + 497 + 67 + 80 + 16 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49356619 + ... + 49369781.

Almost surely, 2^649767801600 is an apocalyptic number.

649767801600 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 649767801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162976963148).

649767801600 is an abundant number, since it is smaller than the sum of its proper divisors (1676186124696).

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

649767801600 is a wasteful number, since it uses less digits than its factorization.

649767801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14052 (or 14030 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 649767801600 in words is "six hundred forty-nine billion, seven hundred sixty-seven million, eight hundred one thousand, six hundred".