37782166064 has 80 divisors (see below), whose sum is σ = 79468128000. Its totient is φ = 17345099520.

The previous prime is 37782166061. The next prime is 37782166073. The reversal of 37782166064 is 46066128773.

37782166064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (37782166061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1258622 + ... + 1288290.

It is an arithmetic number, because the mean of its divisors is an integer number (993351600).

Almost surely, 2^37782166064 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 37782166064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39734064000).

37782166064 is an abundant number, since it is smaller than the sum of its proper divisors (41685961936).

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

37782166064 is a wasteful number, since it uses less digits than its factorization.

37782166064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29826 (or 29820 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 50.

The spelling of 37782166064 in words is "thirty-seven billion, seven hundred eighty-two million, one hundred sixty-six thousand, sixty-four".