35742086016 has 256 divisors, whose sum is σ = 123724661760. Its totient is φ = 8871837696.

The previous prime is 35742085991. The next prime is 35742086047. The reversal of 35742086016 is 61068024753.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563965 + ... + 624131.

It is an arithmetic number, because the mean of its divisors is an integer number (483299460).

Almost surely, 2^35742086016 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 35742086016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61862330880).

35742086016 is an abundant number, since it is smaller than the sum of its proper divisors (87982575744).

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

35742086016 is a wasteful number, since it uses less digits than its factorization.

35742086016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60221 (or 60209 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 35742086016 in words is "thirty-five billion, seven hundred forty-two million, eighty-six thousand, sixteen".