649321677743904 has 576 divisors, whose sum is σ = 2269858878443520. Its totient is φ = 180394957440000.

The previous prime is 649321677743891. The next prime is 649321677743911. The reversal of 649321677743904 is 409347776123946.

649321677743904 is a `hidden beast` number, since 6 + 4 + 9 + 3 + 2 + 167 + 7 + 74 + 390 + 4 = 666.

It is a super-2 number, since 2×649321677743904² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

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, 43936554 + ... + 56824854.

It is an arithmetic number, because the mean of its divisors is an integer number (3940727219520).

Almost surely, 2^{649321677743904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649321677743904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134929439221760).

649321677743904 is an abundant number, since it is smaller than the sum of its proper divisors (1620537200699616).

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

649321677743904 is a wasteful number, since it uses less digits than its factorization.

649321677743904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12888387 (or 12888367 counting only the distinct ones).

The product of its (nonzero) digits is 1152216576, while the sum is 72.

The spelling of 649321677743904 in words is "six hundred forty-nine trillion, three hundred twenty-one billion, six hundred seventy-seven million, seven hundred forty-three thousand, nine hundred four".