2067915664640 has 432 divisors, whose sum is σ = 6326155406592. Its totient is φ = 632156258304.

The previous prime is 2067915664603. The next prime is 2067915664663. The reversal of 2067915664640 is 464665197602.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54968717 + ... + 55006323.

It is an arithmetic number, because the mean of its divisors is an integer number (14643878256).

Almost surely, 2^{2067915664640} is an apocalyptic number.

2067915664640 is a gapful number since it is divisible by the number (20) 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 2067915664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163077703296).

2067915664640 is an abundant number, since it is smaller than the sum of its proper divisors (4258239741952).

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

2067915664640 is a wasteful number, since it uses less digits than its factorization.

2067915664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37690 (or 37657 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 56.

The spelling of 2067915664640 in words is "two trillion, sixty-seven billion, nine hundred fifteen million, six hundred sixty-four thousand, six hundred forty".