35474483580480 has 448 divisors, whose sum is σ = 143187405857280. Its totient is φ = 8099195609088.

The previous prime is 35474483580427. The next prime is 35474483580493. The reversal of 35474483580480 is 8408538447453.

35474483580480 is a `hidden beast` number, since 3 + 5 + 4 + 7 + 4 + 4 + 8 + 3 + 580 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52706554 + ... + 53375366.

Almost surely, 2^{35474483580480} is an apocalyptic number.

35474483580480 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 35474483580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71593702928640).

35474483580480 is an abundant number, since it is smaller than the sum of its proper divisors (107712922276800).

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

35474483580480 is a wasteful number, since it uses less digits than its factorization.

35474483580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669723 (or 669707 counting only the distinct ones).

The product of its (nonzero) digits is 206438400, while the sum is 63.

The spelling of 35474483580480 in words is "thirty-five trillion, four hundred seventy-four billion, four hundred eighty-three million, five hundred eighty thousand, four hundred eighty".