5640348362880 has 1536 divisors, whose sum is σ = 23425378099200. Its totient is φ = 1129166438400.

The previous prime is 5640348362879. The next prime is 5640348362893. The reversal of 5640348362880 is 882638430465.

It is a self number, because there is not a number n which added to its sum of digits gives 5640348362880.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5524336770 + ... + 5524337790.

It is an arithmetic number, because the mean of its divisors is an integer number (15250897200).

Almost surely, 2^{5640348362880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5640348362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11712689049600).

5640348362880 is an abundant number, since it is smaller than the sum of its proper divisors (17785029736320).

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

5640348362880 is a wasteful number, since it uses less digits than its factorization.

5640348362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 57.

The spelling of 5640348362880 in words is "five trillion, six hundred forty billion, three hundred forty-eight million, three hundred sixty-two thousand, eight hundred eighty".