36025826760 has 768 divisors, whose sum is σ = 159148800000. Its totient is φ = 7040839680.

The previous prime is 36025826737. The next prime is 36025826773. The reversal of 36025826760 is 6762852063.

It is a happy number.

36025826760 is a `hidden beast` number, since 3 + 6 + 0 + 2 + 582 + 6 + 7 + 60 = 666.

36025826760 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 191 ways as a sum of consecutive naturals, for example, 24032491 + ... + 24033989.

It is an arithmetic number, because the mean of its divisors is an integer number (207225000).

Almost surely, 2^36025826760 is an apocalyptic number.

36025826760 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 36025826760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79574400000).

36025826760 is an abundant number, since it is smaller than the sum of its proper divisors (123122973240).

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

36025826760 is a wasteful number, since it uses less digits than its factorization.

36025826760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 36025826760 in words is "thirty-six billion, twenty-five million, eight hundred twenty-six thousand, seven hundred sixty".