649234337955840 has 3264 divisors, whose sum is σ = 2847567764321280. Its totient is φ = 133204719697920.

The previous prime is 649234337955757. The next prime is 649234337955881. The reversal of 649234337955840 is 48559733432946.

It is a happy number.

649234337955840 is a `hidden beast` number, since 6 + 4 + 9 + 2 + 3 + 4 + 3 + 37 + 9 + 5 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2074231111524 + ... + 2074231111836.

Almost surely, 2^{649234337955840} is an apocalyptic number.

649234337955840 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 649234337955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423783882160640).

649234337955840 is an abundant number, since it is smaller than the sum of its proper divisors (2198333426365440).

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

649234337955840 is a wasteful number, since it uses less digits than its factorization.

649234337955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2351462400, while the sum is 72.

The spelling of 649234337955840 in words is "six hundred forty-nine trillion, two hundred thirty-four billion, three hundred thirty-seven million, nine hundred fifty-five thousand, eight hundred forty".