649334242440 has 384 divisors, whose sum is σ = 2378166467040. Its totient is φ = 152579801088.

The previous prime is 649334242439. The next prime is 649334242483. The reversal of 649334242440 is 44242433946.

649334242440 is a `hidden beast` number, since 64 + 9 + 3 + 342 + 4 + 244 + 0 = 666.

649334242440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 64265292036 + 585068950404 = 253506^2 + 764898^2 .

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 95 ways as a sum of consecutive naturals, for example, 9142104 + ... + 9212856.

Almost surely, 2^649334242440 is an apocalyptic number.

649334242440 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 649334242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189083233520).

649334242440 is an abundant number, since it is smaller than the sum of its proper divisors (1728832224600).

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

649334242440 is a wasteful number, since it uses less digits than its factorization.

649334242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70873 (or 70866 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 649334242440 in words is "six hundred forty-nine billion, three hundred thirty-four million, two hundred forty-two thousand, four hundred forty".