649301114880 has 480 divisors, whose sum is σ = 2518518804480. Its totient is φ = 157400432640.

The previous prime is 649301114863. The next prime is 649301114899. The reversal of 649301114880 is 88411103946.

649301114880 is a `hidden beast` number, since 6 + 493 + 0 + 11 + 148 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24316897 + ... + 24343583.

It is an arithmetic number, because the mean of its divisors is an integer number (5246914176).

Almost surely, 2^649301114880 is an apocalyptic number.

649301114880 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 649301114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259259402240).

649301114880 is an abundant number, since it is smaller than the sum of its proper divisors (1869217689600).

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

649301114880 is a wasteful number, since it uses less digits than its factorization.

649301114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26740 (or 26708 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 649301114880 in words is "six hundred forty-nine billion, three hundred one million, one hundred fourteen thousand, eight hundred eighty".