649071849600 has 1152 divisors, whose sum is σ = 2534707768320. Its totient is φ = 157659955200.

The previous prime is 649071849589. The next prime is 649071849607. The reversal of 649071849600 is 6948170946.

649071849600 is a `hidden beast` number, since 6 + 490 + 71 + 84 + 9 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (649071849607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1499010984 + ... + 1499011416.

It is an arithmetic number, because the mean of its divisors is an integer number (2200267160).

Almost surely, 2^649071849600 is an apocalyptic number.

649071849600 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 649071849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267353884160).

649071849600 is an abundant number, since it is smaller than the sum of its proper divisors (1885635918720).

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

649071849600 is a wasteful number, since it uses less digits than its factorization.

649071849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 649071849600 in words is "six hundred forty-nine billion, seventy-one million, eight hundred forty-nine thousand, six hundred".