554262560640 has 384 divisors, whose sum is σ = 2023891833600. Its totient is φ = 139544985600.

The previous prime is 554262560591. The next prime is 554262560647. The reversal of 554262560640 is 46065262455.

554262560640 is a `hidden beast` number, since 5 + 5 + 4 + 26 + 2 + 560 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×554262560640² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554262560647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7283106 + ... + 7358814.

It is an arithmetic number, because the mean of its divisors is an integer number (5270551650).

Almost surely, 2^554262560640 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 554262560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011945916800).

554262560640 is an abundant number, since it is smaller than the sum of its proper divisors (1469629272960).

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

554262560640 is a wasteful number, since it uses less digits than its factorization.

554262560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75806 (or 75791 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 554262560640 in words is "five hundred fifty-four billion, two hundred sixty-two million, five hundred sixty thousand, six hundred forty".