2640323755360 has 192 divisors, whose sum is σ = 6693851513664. Its totient is φ = 980656128000.

The previous prime is 2640323755337. The next prime is 2640323755423. The reversal of 2640323755360 is 635573230462.

It is a super-3 number, since 3×2640323755360³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2640323755360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77728780 + ... + 77762740.

It is an arithmetic number, because the mean of its divisors is an integer number (34863809967).

Almost surely, 2^{2640323755360} is an apocalyptic number.

2640323755360 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 2640323755360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346925756832).

2640323755360 is an abundant number, since it is smaller than the sum of its proper divisors (4053527758304).

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

2640323755360 is a wasteful number, since it uses less digits than its factorization.

2640323755360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34377 (or 34369 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 46.

The spelling of 2640323755360 in words is "two trillion, six hundred forty billion, three hundred twenty-three million, seven hundred fifty-five thousand, three hundred sixty".