1564409797440 has 672 divisors, whose sum is σ = 6346562181120. Its totient is φ = 324026486784.

The previous prime is 1564409797411. The next prime is 1564409797469. The reversal of 1564409797440 is 447979044651.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1564409797411) and next prime (1564409797469).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 20518429 + ... + 20594531.

It is an arithmetic number, because the mean of its divisors is an integer number (9444288960).

Almost surely, 2^{1564409797440} is an apocalyptic number.

1564409797440 is a gapful number since it is divisible by the number (10) 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 1564409797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173281090560).

1564409797440 is an abundant number, since it is smaller than the sum of its proper divisors (4782152383680).

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

1564409797440 is a wasteful number, since it uses less digits than its factorization.

1564409797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76179 (or 76162 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 1564409797440 in words is "one trillion, five hundred sixty-four billion, four hundred nine million, seven hundred ninety-seven thousand, four hundred forty".