5646761380040 has 128 divisors (see below), whose sum is σ = 14680235750400. Its totient is φ = 1931963105280.

The previous prime is 5646761379983. The next prime is 5646761380063. The reversal of 5646761380040 is 400831676465.

It is a super-2 number, since 2×5646761380040² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23569976 + ... + 23808344.

It is an arithmetic number, because the mean of its divisors is an integer number (114689341800).

Almost surely, 2^{5646761380040} 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 5646761380040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340117875200).

5646761380040 is an abundant number, since it is smaller than the sum of its proper divisors (9033474370360).

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

5646761380040 is a wasteful number, since it uses less digits than its factorization.

5646761380040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241575 (or 241571 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 50.

The spelling of 5646761380040 in words is "five trillion, six hundred forty-six billion, seven hundred sixty-one million, three hundred eighty thousand, forty".