649610241840 has 480 divisors, whose sum is σ = 2557027339776. Its totient is φ = 144693596160.

The previous prime is 649610241827. The next prime is 649610241853. The reversal of 649610241840 is 48142016946.

649610241840 is a `hidden beast` number, since 6 + 4 + 9 + 610 + 24 + 1 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (649610241827) and next prime (649610241853).

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, 294874179 + ... + 294876381.

Almost surely, 2^649610241840 is an apocalyptic number.

649610241840 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 649610241840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278513669888).

649610241840 is an abundant number, since it is smaller than the sum of its proper divisors (1907417097936).

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

649610241840 is a wasteful number, since it uses less digits than its factorization.

649610241840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 649610241840 in words is "six hundred forty-nine billion, six hundred ten million, two hundred forty-one thousand, eight hundred forty".