36071619840 has 1008 divisors, whose sum is σ = 141552069120. Its totient is φ = 8778792960.

The previous prime is 36071619823. The next prime is 36071619893. The reversal of 36071619840 is 4891617063.

It is a happy number.

36071619840 is a `hidden beast` number, since 360 + 7 + 161 + 98 + 40 = 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 111 ways as a sum of consecutive naturals, for example, 838874859 + ... + 838874901.

It is an arithmetic number, because the mean of its divisors is an integer number (140428640).

Almost surely, 2^36071619840 is an apocalyptic number.

36071619840 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 36071619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70776034560).

36071619840 is an abundant number, since it is smaller than the sum of its proper divisors (105480449280).

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

36071619840 is an equidigital number, since it uses as much as digits as its factorization.

36071619840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 36071619840 in words is "thirty-six billion, seventy-one million, six hundred nineteen thousand, eight hundred forty".