36110672640 has 576 divisors, whose sum is σ = 148910469120. Its totient is φ = 8115240960.

The previous prime is 36110672639. The next prime is 36110672657. The reversal of 36110672640 is 4627601163.

It is a happy number.

36110672640 is a `hidden beast` number, since 3 + 6 + 1 + 1 + 0 + 6 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36110672595 and 36110672604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14755897 + ... + 14758343.

It is an arithmetic number, because the mean of its divisors is an integer number (258525120).

Almost surely, 2^36110672640 is an apocalyptic number.

36110672640 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 36110672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74455234560).

36110672640 is an abundant number, since it is smaller than the sum of its proper divisors (112799796480).

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

36110672640 is a wasteful number, since it uses less digits than its factorization.

36110672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 36110672640 in words is "thirty-six billion, one hundred ten million, six hundred seventy-two thousand, six hundred forty".