649953884160 has 768 divisors, whose sum is σ = 2705168793600. Its totient is φ = 144919756800.

The previous prime is 649953884143. The next prime is 649953884171. The reversal of 649953884160 is 61488359946.

649953884160 is a `hidden beast` number, since 6 + 4 + 9 + 9 + 538 + 84 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79345665 + ... + 79353855.

It is an arithmetic number, because the mean of its divisors is an integer number (3522355200).

Almost surely, 2^649953884160 is an apocalyptic number.

649953884160 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 649953884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352584396800).

649953884160 is an abundant number, since it is smaller than the sum of its proper divisors (2055214909440).

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

649953884160 is a wasteful number, since it uses less digits than its factorization.

649953884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8275 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 649953884160 in words is "six hundred forty-nine billion, nine hundred fifty-three million, eight hundred eighty-four thousand, one hundred sixty".