5140780654464 has 768 divisors, whose sum is σ = 19025599057920. Its totient is φ = 1295015952384.

The previous prime is 5140780654433. The next prime is 5140780654519. The reversal of 5140780654464 is 4644560870415.

5140780654464 is a `hidden beast` number, since 5 + 1 + 40 + 7 + 80 + 65 + 4 + 464 = 666.

It is a super-2 number, since 2×5140780654464² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5140780654464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2659482042 + ... + 2659483974.

It is an arithmetic number, because the mean of its divisors is an integer number (24772915440).

Almost surely, 2^{5140780654464} 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 5140780654464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9512799528960).

5140780654464 is an abundant number, since it is smaller than the sum of its proper divisors (13884818403456).

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

5140780654464 is a wasteful number, since it uses less digits than its factorization.

5140780654464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 5140780654464 in words is "five trillion, one hundred forty billion, seven hundred eighty million, six hundred fifty-four thousand, four hundred sixty-four".