1960006688640 has 2560 divisors, whose sum is σ = 9512684375040. Its totient is φ = 371376783360.

The previous prime is 1960006688593. The next prime is 1960006688659. The reversal of 1960006688640 is 468866000691.

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 319 ways as a sum of consecutive naturals, for example, 5552426704 + ... + 5552427056.

It is an arithmetic number, because the mean of its divisors is an integer number (3715892334).

Almost surely, 2^{1960006688640} is an apocalyptic number.

1960006688640 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 1960006688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756342187520).

1960006688640 is an abundant number, since it is smaller than the sum of its proper divisors (7552677686400).

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

1960006688640 is a wasteful number, since it uses less digits than its factorization.

1960006688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1960006688640 in words is "one trillion, nine hundred sixty billion, six million, six hundred eighty-eight thousand, six hundred forty".