353630551680 has 1152 divisors, whose sum is σ = 1483027678080. Its totient is φ = 78955388928.

The previous prime is 353630551661. The next prime is 353630551739. The reversal of 353630551680 is 86155036353.

It is a happy number.

353630551680 is a `hidden beast` number, since 3 + 5 + 3 + 6 + 30 + 551 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1557843727 + ... + 1557843953.

It is an arithmetic number, because the mean of its divisors is an integer number (1287350415).

Almost surely, 2^353630551680 is an apocalyptic number.

353630551680 is a gapful number since it is divisible by the number (30) 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 353630551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741513839040).

353630551680 is an abundant number, since it is smaller than the sum of its proper divisors (1129397126400).

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

353630551680 is an frugal number, since it uses more digits than its factorization.

353630551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 353630551680 in words is "three hundred fifty-three billion, six hundred thirty million, five hundred fifty-one thousand, six hundred eighty".