35479604016 has 160 divisors (see below), whose sum is σ = 102626883840. Its totient is φ = 11735539200.

The previous prime is 35479604011. The next prime is 35479604021. The reversal of 35479604016 is 61040697453.

35479604016 is a `hidden beast` number, since 3 + 547 + 9 + 60 + 40 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (35479604011) and next prime (35479604021).

It is a super-2 number, since 2×35479604016² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (35479604011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 40180311 + ... + 40181193.

It is an arithmetic number, because the mean of its divisors is an integer number (641418024).

Almost surely, 2^35479604016 is an apocalyptic number.

35479604016 is a gapful number since it is divisible by the number (36) 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 35479604016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51313441920).

35479604016 is an abundant number, since it is smaller than the sum of its proper divisors (67147279824).

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

35479604016 is a wasteful number, since it uses less digits than its factorization.

35479604016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 35479604016 in words is "thirty-five billion, four hundred seventy-nine million, six hundred four thousand, sixteen".