1968518376 has 320 divisors, whose sum is σ = 6351048000. Its totient is φ = 564157440.

The previous prime is 1968518359. The next prime is 1968518393. The reversal of 1968518376 is 6738158691.

1968518376 is a `hidden beast` number, since 1 + 96 + 8 + 518 + 37 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1968518359) and next prime (1968518393).

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 79 ways as a sum of consecutive naturals, for example, 18397315 + ... + 18397421.

It is an arithmetic number, because the mean of its divisors is an integer number (19847025).

Almost surely, 2^1968518376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968518376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175524000).

1968518376 is an abundant number, since it is smaller than the sum of its proper divisors (4382529624).

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

1968518376 is a wasteful number, since it uses less digits than its factorization.

1968518376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 1968518376 is about 44367.9881896847. The cubic root of 1968518376 is about 1253.2753304856.

The spelling of 1968518376 in words is "one billion, nine hundred sixty-eight million, five hundred eighteen thousand, three hundred seventy-six".