649832417280 has 576 divisors, whose sum is σ = 2360649432960. Its totient is φ = 165013094400.

The previous prime is 649832417251. The next prime is 649832417293. The reversal of 649832417280 is 82714238946.

649832417280 is a `hidden beast` number, since 6 + 49 + 83 + 241 + 7 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 595629535 + ... + 595630625.

It is an arithmetic number, because the mean of its divisors is an integer number (4098349710).

Almost surely, 2^649832417280 is an apocalyptic number.

649832417280 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 649832417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180324716480).

649832417280 is an abundant number, since it is smaller than the sum of its proper divisors (1710817015680).

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

649832417280 is a wasteful number, since it uses less digits than its factorization.

649832417280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 649832417280 in words is "six hundred forty-nine billion, eight hundred thirty-two million, four hundred seventeen thousand, two hundred eighty".