36880842240 has 1600 divisors, whose sum is σ = 162561738240. Its totient is φ = 7882997760.

The previous prime is 36880842223. The next prime is 36880842281. The reversal of 36880842240 is 4224808863.

36880842240 is a `hidden beast` number, since 368 + 8 + 0 + 8 + 42 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 996779502 + ... + 996779538.

Almost surely, 2^36880842240 is an apocalyptic number.

36880842240 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 36880842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81280869120).

36880842240 is an abundant number, since it is smaller than the sum of its proper divisors (125680896000).

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

36880842240 is a wasteful number, since it uses less digits than its factorization.

36880842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 36880842240 in words is "thirty-six billion, eight hundred eighty million, eight hundred forty-two thousand, two hundred forty".