35064172480 has 112 divisors (see below), whose sum is σ = 85191173280. Its totient is φ = 13741764608.

The previous prime is 35064172463. The next prime is 35064172483. The reversal of 35064172480 is 8427146053.

35064172480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×35064172480³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35064172483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21657111 + ... + 21658729.

Almost surely, 2^35064172480 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 35064172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42595586640).

35064172480 is an abundant number, since it is smaller than the sum of its proper divisors (50127000800).

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

35064172480 is a wasteful number, since it uses less digits than its factorization.

35064172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 35064172480 in words is "thirty-five billion, sixty-four million, one hundred seventy-two thousand, four hundred eighty".