35740579968 has 192 divisors, whose sum is σ = 110336990400. Its totient is φ = 11502425088.

The previous prime is 35740579949. The next prime is 35740579981. The reversal of 35740579968 is 86997504753.

35740579968 is a `hidden beast` number, since 3 + 57 + 4 + 0 + 579 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882205 + ... + 921827.

It is an arithmetic number, because the mean of its divisors is an integer number (574671825).

Almost surely, 2^35740579968 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 35740579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55168495200).

35740579968 is an abundant number, since it is smaller than the sum of its proper divisors (74596410432).

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

35740579968 is an equidigital number, since it uses as much as digits as its factorization.

35740579968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39681 (or 39657 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 35740579968 in words is "thirty-five billion, seven hundred forty million, five hundred seventy-nine thousand, nine hundred sixty-eight".