1628067717936 has 240 divisors, whose sum is σ = 5274515326080. Its totient is φ = 481879964160.

The previous prime is 1628067717931. The next prime is 1628067718001. The reversal of 1628067717936 is 6397177608261.

It is a super-2 number, since 2×1628067717936² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1628067717931) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1396380 + ... + 2281668.

It is an arithmetic number, because the mean of its divisors is an integer number (21977147192).

Almost surely, 2^{1628067717936} is an apocalyptic number.

1628067717936 is a gapful number since it is divisible by the number (16) 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 1628067717936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637257663040).

1628067717936 is an abundant number, since it is smaller than the sum of its proper divisors (3646447608144).

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

1628067717936 is a wasteful number, since it uses less digits than its factorization.

1628067717936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885366 (or 885348 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 1628067717936 in words is "one trillion, six hundred twenty-eight billion, sixty-seven million, seven hundred seventeen thousand, nine hundred thirty-six".