36097719840 has 1728 divisors, whose sum is σ = 169403270400. Its totient is φ = 6914654208.

The previous prime is 36097719799. The next prime is 36097719859. The reversal of 36097719840 is 4891779063.

It is a happy number.

36097719840 is a `hidden beast` number, since 360 + 97 + 7 + 198 + 4 + 0 = 666.

36097719840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×36097719840³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 611825731 + ... + 611825789.

It is an arithmetic number, because the mean of its divisors is an integer number (98034300).

Almost surely, 2^36097719840 is an apocalyptic number.

36097719840 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 36097719840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84701635200).

36097719840 is an abundant number, since it is smaller than the sum of its proper divisors (133305550560).

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

36097719840 is a wasteful number, since it uses less digits than its factorization.

36097719840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 36097719840 in words is "thirty-six billion, ninety-seven million, seven hundred nineteen thousand, eight hundred forty".