1962740648960 has 704 divisors, whose sum is σ = 5915880569088. Its totient is φ = 608358629376.

The previous prime is 1962740648929. The next prime is 1962740648963. The reversal of 1962740648960 is 698460472691.

It is a junction number, because it is equal to n+sod(n) for n = 1962740648893 and 1962740648902.

It is not an unprimeable number, because it can be changed into a prime (1962740648963) 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, 6191610722 + ... + 6191611038.

Almost surely, 2^{1962740648960} is an apocalyptic number.

1962740648960 is a gapful number since it is divisible by the number (10) 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 1962740648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957940284544).

1962740648960 is an abundant number, since it is smaller than the sum of its proper divisors (3953139920128).

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

1962740648960 is a wasteful number, since it uses less digits than its factorization.

1962740648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 62.

The spelling of 1962740648960 in words is "one trillion, nine hundred sixty-two billion, seven hundred forty million, six hundred forty-eight thousand, nine hundred sixty".