35764121040 has 80 divisors (see below), whose sum is σ = 116703988800. Its totient is φ = 9035145216.

The previous prime is 35764121039. The next prime is 35764121051. The reversal of 35764121040 is 4012146753.

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

It is a junction number, because it is equal to n+sod(n) for n = 35764120992 and 35764121010.

It is a congruent number.

It is an unprimeable number.

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, 3916945 + ... + 3926064.

It is an arithmetic number, because the mean of its divisors is an integer number (1458799860).

Almost surely, 2^35764121040 is an apocalyptic number.

35764121040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35764121040 is an abundant number, since it is smaller than the sum of its proper divisors (80939867760).

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

35764121040 is a wasteful number, since it uses less digits than its factorization.

35764121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7843044 (or 7843038 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 35764121040 its reverse (4012146753), we get a palindrome (39776267793).

The spelling of 35764121040 in words is "thirty-five billion, seven hundred sixty-four million, one hundred twenty-one thousand, forty".