649087893120 has 128 divisors (see below), whose sum is σ = 2070017979840. Its totient is φ = 173002235904.

The previous prime is 649087893023. The next prime is 649087893127. The reversal of 649087893120 is 21398780946.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (649087893127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3741747 + ... + 3911373.

Almost surely, 2^649087893120 is an apocalyptic number.

649087893120 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 649087893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035008989920).

649087893120 is an abundant number, since it is smaller than the sum of its proper divisors (1420930086720).

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

649087893120 is a wasteful number, since it uses less digits than its factorization.

649087893120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171642 (or 171630 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 649087893120 in words is "six hundred forty-nine billion, eighty-seven million, eight hundred ninety-three thousand, one hundred twenty".