649463173632 has 1600 divisors, whose sum is σ = 2587298402304. Its totient is φ = 157341450240.

The previous prime is 649463173631. The next prime is 649463173661. The reversal of 649463173632 is 236371364946.

It is a happy number.

649463173632 is a `hidden beast` number, since 6 + 4 + 9 + 463 + 173 + 6 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (649463173631) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3400330657 + ... + 3400330847.

Almost surely, 2^649463173632 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 649463173632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293649201152).

649463173632 is an abundant number, since it is smaller than the sum of its proper divisors (1937835228672).

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

649463173632 is a wasteful number, since it uses less digits than its factorization.

649463173632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 286 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 54.

The spelling of 649463173632 in words is "six hundred forty-nine billion, four hundred sixty-three million, one hundred seventy-three thousand, six hundred thirty-two".