649759572000 has 1152 divisors, whose sum is σ = 2895258981888. Its totient is φ = 134065152000.

The previous prime is 649759571939. The next prime is 649759572001. The reversal of 649759572000 is 275957946.

649759572000 is a `hidden beast` number, since 6 + 49 + 7 + 595 + 7 + 2 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (649759572001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 435203254 + ... + 435204746.

It is an arithmetic number, because the mean of its divisors is an integer number (2513245644).

Almost surely, 2^649759572000 is an apocalyptic number.

649759572000 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 649759572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447629490944).

649759572000 is an abundant number, since it is smaller than the sum of its proper divisors (2245499409888).

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

649759572000 is a wasteful number, since it uses less digits than its factorization.

649759572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 649759572000 in words is "six hundred forty-nine billion, seven hundred fifty-nine million, five hundred seventy-two thousand".