1627980781950 has 144 divisors (see below), whose sum is σ = 4604839200000. Its totient is φ = 411208315200.

The previous prime is 1627980781927. The next prime is 1627980781957. The reversal of 1627980781950 is 591870897261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1627980781957) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64103755 + ... + 64129145.

It is an arithmetic number, because the mean of its divisors is an integer number (31978050000).

Almost surely, 2^{1627980781950} is an apocalyptic number.

1627980781950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1627980781950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302419600000).

1627980781950 is an abundant number, since it is smaller than the sum of its proper divisors (2976858418050).

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

1627980781950 is a wasteful number, since it uses less digits than its factorization.

1627980781950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32927 (or 32919 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 63.

The spelling of 1627980781950 in words is "one trillion, six hundred twenty-seven billion, nine hundred eighty million, seven hundred eighty-one thousand, nine hundred fifty".