1961437767744 has 896 divisors, whose sum is σ = 6715104428032. Its totient is φ = 491612405760.

The previous prime is 1961437767743. The next prime is 1961437767749. The reversal of 1961437767744 is 4477677341691.

It is not an unprimeable number, because it can be changed into a prime (1961437767743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5820289944 + ... + 5820290280.

It is an arithmetic number, because the mean of its divisors is an integer number (7494536192).

Almost surely, 2^{1961437767744} is an apocalyptic number.

1961437767744 is a gapful number since it is divisible by the number (14) 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 1961437767744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357552214016).

1961437767744 is an abundant number, since it is smaller than the sum of its proper divisors (4753666660288).

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

1961437767744 is a wasteful number, since it uses less digits than its factorization.

1961437767744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 593 counting only the distinct ones).

The product of its digits is 149361408, while the sum is 66.

The spelling of 1961437767744 in words is "one trillion, nine hundred sixty-one billion, four hundred thirty-seven million, seven hundred sixty-seven thousand, seven hundred forty-four".