1968726870 has 240 divisors, whose sum is σ = 5944110480. Its totient is φ = 467026560.

The previous prime is 1968726863. The next prime is 1968726887. The reversal of 1968726870 is 786278691.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5194341 + ... + 5194719.

It is an arithmetic number, because the mean of its divisors is an integer number (24767127).

Almost surely, 2^1968726870 is an apocalyptic number.

1968726870 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 1968726870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972055240).

1968726870 is an abundant number, since it is smaller than the sum of its proper divisors (3975383610).

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

1968726870 is a wasteful number, since it uses less digits than its factorization.

1968726870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 1968726870 is about 44370.3377269094. The cubic root of 1968726870 is about 1253.3195754645.

The spelling of 1968726870 in words is "one billion, nine hundred sixty-eight million, seven hundred twenty-six thousand, eight hundred seventy".