36006742057000 has 256 divisors, whose sum is σ = 99012838579200. Its totient is φ = 12082878720000.

The previous prime is 36006742056949. The next prime is 36006742057067. The reversal of 36006742057000 is 75024760063.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 554950561 + ... + 555015439.

It is an arithmetic number, because the mean of its divisors is an integer number (386768900700).

Almost surely, 2^{36006742057000} 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 36006742057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49506419289600).

36006742057000 is an abundant number, since it is smaller than the sum of its proper divisors (63006096522200).

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

36006742057000 is a wasteful number, since it uses less digits than its factorization.

36006742057000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68805 (or 68791 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 36006742057000 in words is "thirty-six trillion, six billion, seven hundred forty-two million, fifty-seven thousand".