7564664444440 has 128 divisors (see below), whose sum is σ = 17685637200000. Its totient is φ = 2909755699200.

The previous prime is 7564664444431. The next prime is 7564664444479. The reversal of 7564664444440 is 444444664657.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 809136886 + ... + 809146234.

It is an arithmetic number, because the mean of its divisors is an integer number (138169040625).

Almost surely, 2^{7564664444440} 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 7564664444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8842818600000).

7564664444440 is an abundant number, since it is smaller than the sum of its proper divisors (10120972755560).

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

7564664444440 is a wasteful number, since it uses less digits than its factorization.

7564664444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16421 (or 16417 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 58.

The spelling of 7564664444440 in words is "seven trillion, five hundred sixty-four billion, six hundred sixty-four million, four hundred forty-four thousand, four hundred forty".