37661085000 has 640 divisors, whose sum is σ = 163027814400. Its totient is φ = 7823520000.

The previous prime is 37661084953. The next prime is 37661085023. The reversal of 37661085000 is 58016673.

37661085000 is a `hidden beast` number, since 37 + 6 + 610 + 8 + 5 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10393189 + ... + 10396811.

It is an arithmetic number, because the mean of its divisors is an integer number (254730960).

Almost surely, 2^37661085000 is an apocalyptic number.

37661085000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37661085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81513907200).

37661085000 is an abundant number, since it is smaller than the sum of its proper divisors (125366729400).

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

37661085000 is a wasteful number, since it uses less digits than its factorization.

37661085000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 37661085000 in words is "thirty-seven billion, six hundred sixty-one million, eighty-five thousand".