553240765440 has 704 divisors, whose sum is σ = 2203048869120. Its totient is φ = 130480865280.

The previous prime is 553240765411. The next prime is 553240765471. The reversal of 553240765440 is 44567042355.

553240765440 is a `hidden beast` number, since 5 + 5 + 32 + 4 + 0 + 76 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56258764 + ... + 56268596.

It is an arithmetic number, because the mean of its divisors is an integer number (3129330780).

Almost surely, 2^553240765440 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 553240765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101524434560).

553240765440 is an abundant number, since it is smaller than the sum of its proper divisors (1649808103680).

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

553240765440 is a wasteful number, since it uses less digits than its factorization.

553240765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9915 (or 9891 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 553240765440 in words is "five hundred fifty-three billion, two hundred forty million, seven hundred sixty-five thousand, four hundred forty".