35124068640 has 48 divisors (see below), whose sum is σ = 110640817728. Its totient is φ = 9366418176.

The previous prime is 35124068627. The next prime is 35124068647. The reversal of 35124068640 is 4686042153.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×35124068640³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (35124068647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36587092 + ... + 36588051.

It is an arithmetic number, because the mean of its divisors is an integer number (2305017036).

Almost surely, 2^35124068640 is an apocalyptic number.

35124068640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35124068640 is an abundant number, since it is smaller than the sum of its proper divisors (75516749088).

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

35124068640 is a wasteful number, since it uses less digits than its factorization.

35124068640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73175161 (or 73175153 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 35124068640 in words is "thirty-five billion, one hundred twenty-four million, sixty-eight thousand, six hundred forty".