649071360000 has 960 divisors, whose sum is σ = 2746865721600. Its totient is φ = 148303872000.

The previous prime is 649071359947. The next prime is 649071360019. The reversal of 649071360000 is 63170946.

649071360000 is a `hidden beast` number, since 6 + 49 + 0 + 7 + 1 + 3 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 241918659 + ... + 241921341.

It is an arithmetic number, because the mean of its divisors is an integer number (2861318460).

Almost surely, 2^649071360000 is an apocalyptic number.

649071360000 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 649071360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373432860800).

649071360000 is an abundant number, since it is smaller than the sum of its proper divisors (2097794361600).

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

649071360000 is an equidigital number, since it uses as much as digits as its factorization.

649071360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 649071360000 in words is "six hundred forty-nine billion, seventy-one million, three hundred sixty thousand".