649734145200 has 1200 divisors, whose sum is σ = 2888085150720. Its totient is φ = 136489328640.

The previous prime is 649734145147. The next prime is 649734145253. The reversal of 649734145200 is 2541437946.

649734145200 is a `hidden beast` number, since 6 + 4 + 97 + 34 + 1 + 4 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (649734145147) and next prime (649734145253).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 165788841 + ... + 165792759.

Almost surely, 2^649734145200 is an apocalyptic number.

649734145200 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 649734145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444042575360).

649734145200 is an abundant number, since it is smaller than the sum of its proper divisors (2238351005520).

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

649734145200 is a wasteful number, since it uses less digits than its factorization.

649734145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 649734145200 in words is "six hundred forty-nine billion, seven hundred thirty-four million, one hundred forty-five thousand, two hundred".