552495470476680 has 320 divisors, whose sum is σ = 1859854511346480. Its totient is φ = 147105696153600.

The previous prime is 552495470476673. The next prime is 552495470476711. The reversal of 552495470476680 is 86674074594255.

552495470476680 is a `hidden beast` number, since 5 + 5 + 2 + 4 + 9 + 5 + 4 + 70 + 476 + 6 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 288979532362404 + 263515938114276 = 16999398^2 + 16233174^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 552495470476599 and 552495470476608.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6588501312 + ... + 6588585168.

Almost surely, 2^{552495470476680} 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 552495470476680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929927255673240).

552495470476680 is an abundant number, since it is smaller than the sum of its proper divisors (1307359040869800).

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

552495470476680 is a wasteful number, since it uses less digits than its factorization.

552495470476680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86982 (or 86969 counting only the distinct ones).

The product of its (nonzero) digits is 2032128000, while the sum is 72.

The spelling of 552495470476680 in words is "five hundred fifty-two trillion, four hundred ninety-five billion, four hundred seventy million, four hundred seventy-six thousand, six hundred eighty".