35356978640 has 80 divisors (see below), whose sum is σ = 85195417680. Its totient is φ = 13630095360.

The previous prime is 35356978637. The next prime is 35356978649. The reversal of 35356978640 is 4687965353.

It can be written as a sum of positive squares in 8 ways, for example, as 2119313296 + 33237665344 = 46036^2 + 182312^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35356978649) 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 15 ways as a sum of consecutive naturals, for example, 1278560 + ... + 1305920.

It is an arithmetic number, because the mean of its divisors is an integer number (1064942721).

Almost surely, 2^35356978640 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 35356978640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42597708840).

35356978640 is an abundant number, since it is smaller than the sum of its proper divisors (49838439040).

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

35356978640 is a wasteful number, since it uses less digits than its factorization.

35356978640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27960 (or 27954 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 56.

The spelling of 35356978640 in words is "thirty-five billion, three hundred fifty-six million, nine hundred seventy-eight thousand, six hundred forty".