1969142733936 has 320 divisors, whose sum is σ = 6686712499200. Its totient is φ = 542858609664.

The previous prime is 1969142733931. The next prime is 1969142733979. The reversal of 1969142733936 is 6393372419691.

1969142733936 is a `hidden beast` number, since 1 + 9 + 6 + 91 + 427 + 33 + 93 + 6 = 666.

It is a super-2 number, since 2×1969142733936² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1969142733931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153198486 + ... + 153211338.

It is an arithmetic number, because the mean of its divisors is an integer number (20895976560).

Almost surely, 2^{1969142733936} is an apocalyptic number.

1969142733936 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 1969142733936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343356249600).

1969142733936 is an abundant number, since it is smaller than the sum of its proper divisors (4717569765264).

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

1969142733936 is a wasteful number, since it uses less digits than its factorization.

1969142733936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14653 (or 14641 counting only the distinct ones).

The product of its digits is 39680928, while the sum is 63.

The spelling of 1969142733936 in words is "one trillion, nine hundred sixty-nine billion, one hundred forty-two million, seven hundred thirty-three thousand, nine hundred thirty-six".