35475479424 has 1152 divisors, whose sum is σ = 142215091200. Its totient is φ = 8360755200.

The previous prime is 35475479401. The next prime is 35475479437. The reversal of 35475479424 is 42497457453.

35475479424 is a `hidden beast` number, since 3 + 5 + 4 + 7 + 547 + 94 + 2 + 4 = 666.

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

Its product of digits (16934400) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 365726544 + ... + 365726640.

It is an arithmetic number, because the mean of its divisors is an integer number (123450600).

Almost surely, 2^35475479424 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 35475479424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71107545600).

35475479424 is an abundant number, since it is smaller than the sum of its proper divisors (106739611776).

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

35475479424 is a wasteful number, since it uses less digits than its factorization.

35475479424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 170 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 35475479424 in words is "thirty-five billion, four hundred seventy-five million, four hundred seventy-nine thousand, four hundred twenty-four".