552480837264 has 240 divisors, whose sum is σ = 1659908689600. Its totient is φ = 175926339072.

The previous prime is 552480837263. The next prime is 552480837301. The reversal of 552480837264 is 462738084255.

552480837264 is a `hidden beast` number, since 5 + 524 + 80 + 8 + 37 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 552480837264.

It is not an unprimeable number, because it can be changed into a prime (552480837263) 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, 333421524 + ... + 333423180.

Almost surely, 2^552480837264 is an apocalyptic number.

552480837264 is a gapful number since it is divisible by the number (54) 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 552480837264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829954344800).

552480837264 is an abundant number, since it is smaller than the sum of its proper divisors (1107427852336).

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

552480837264 is a wasteful number, since it uses less digits than its factorization.

552480837264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 552480837264 in words is "five hundred fifty-two billion, four hundred eighty million, eight hundred thirty-seven thousand, two hundred sixty-four".