1564671860400 has 720 divisors, whose sum is σ = 5849720843904. Its totient is φ = 355998720000.

The previous prime is 1564671860333. The next prime is 1564671860441. The reversal of 1564671860400 is 40681764651.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1564671860400.

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 143 ways as a sum of consecutive naturals, for example, 1211983755 + ... + 1211985045.

Almost surely, 2^{1564671860400} is an apocalyptic number.

1564671860400 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 1564671860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924860421952).

1564671860400 is an abundant number, since it is smaller than the sum of its proper divisors (4285048983504).

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

1564671860400 is a wasteful number, since it uses less digits than its factorization.

1564671860400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 1564671860400 in words is "one trillion, five hundred sixty-four billion, six hundred seventy-one million, eight hundred sixty thousand, four hundred".