650938559040 has 1792 divisors, whose sum is σ = 3146121216000. Its totient is φ = 122514923520.

The previous prime is 650938558997. The next prime is 650938559057. The reversal of 650938559040 is 40955839056.

It is a happy number.

650938559040 is a `hidden beast` number, since 6 + 5 + 0 + 9 + 3 + 8 + 5 + 590 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 290726241 + ... + 290728479.

It is an arithmetic number, because the mean of its divisors is an integer number (1755648000).

Almost surely, 2^650938559040 is an apocalyptic number.

650938559040 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 650938559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573060608000).

650938559040 is an abundant number, since it is smaller than the sum of its proper divisors (2495182656960).

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

650938559040 is a wasteful number, since it uses less digits than its factorization.

650938559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 650938559040 in words is "six hundred fifty billion, nine hundred thirty-eight million, five hundred fifty-nine thousand, forty".