554611466640 has 1440 divisors, whose sum is σ = 2361059632512. Its totient is φ = 106917888000.

The previous prime is 554611466639. The next prime is 554611466641. The reversal of 554611466640 is 46664116455.

It is an interprime number because it is at equal distance from previous prime (554611466639) and next prime (554611466641).

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 554611466640.

It is not an unprimeable number, because it can be changed into a prime (554611466641) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2443222207 + ... + 2443222433.

Almost surely, 2^554611466640 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 554611466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180529816256).

554611466640 is an abundant number, since it is smaller than the sum of its proper divisors (1806448165872).

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

554611466640 is a wasteful number, since it uses less digits than its factorization.

554611466640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 554611466640 in words is "five hundred fifty-four billion, six hundred eleven million, four hundred sixty-six thousand, six hundred forty".