1960766000640 has 960 divisors, whose sum is σ = 7514679744000. Its totient is φ = 470274342912.

The previous prime is 1960766000623. The next prime is 1960766000723. The reversal of 1960766000640 is 460006670691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1500202867 + ... + 1500204173.

It is an arithmetic number, because the mean of its divisors is an integer number (7827791400).

Almost surely, 2^{1960766000640} is an apocalyptic number.

1960766000640 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 1960766000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757339872000).

1960766000640 is an abundant number, since it is smaller than the sum of its proper divisors (5553913743360).

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

1960766000640 is a wasteful number, since it uses less digits than its factorization.

1960766000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 1960766000640 in words is "one trillion, nine hundred sixty billion, seven hundred sixty-six million, six hundred forty", and thus it is an aban number.