36198620640 has 1728 divisors, whose sum is σ = 170658109440. Its totient is φ = 6897623040.

The previous prime is 36198620639. The next prime is 36198620677. The reversal of 36198620640 is 4602689163.

36198620640 is a `hidden beast` number, since 3 + 6 + 19 + 8 + 620 + 6 + 4 + 0 = 666.

36198620640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 540277887 + ... + 540277953.

It is an arithmetic number, because the mean of its divisors is an integer number (98760480).

Almost surely, 2^36198620640 is an apocalyptic number.

36198620640 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 36198620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85329054720).

36198620640 is an abundant number, since it is smaller than the sum of its proper divisors (134459488800).

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

36198620640 is a wasteful number, since it uses less digits than its factorization.

36198620640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 36198620640 in words is "thirty-six billion, one hundred ninety-eight million, six hundred twenty thousand, six hundred forty".