1543631640264 has 960 divisors, whose sum is σ = 5502547987200. Its totient is φ = 401518301184.

The previous prime is 1543631640149. The next prime is 1543631640269. The reversal of 1543631640264 is 4620461363451.

1543631640264 is a `hidden beast` number, since 1 + 5 + 4 + 3 + 631 + 6 + 4 + 0 + 2 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (1543631640269) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 2260075267 + ... + 2260075949.

It is an arithmetic number, because the mean of its divisors is an integer number (5731820820).

Almost surely, 2^{1543631640264} is an apocalyptic number.

1543631640264 is a gapful number since it is divisible by the number (14) 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 1543631640264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751273993600).

1543631640264 is an abundant number, since it is smaller than the sum of its proper divisors (3958916346936).

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

1543631640264 is a wasteful number, since it uses less digits than its factorization.

1543631640264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 1543631640264 in words is "one trillion, five hundred forty-three billion, six hundred thirty-one million, six hundred forty thousand, two hundred sixty-four".