36520727040 has 960 divisors, whose sum is σ = 155172568320. Its totient is φ = 8113029120.

The previous prime is 36520727011. The next prime is 36520727041. The reversal of 36520727040 is 4072702563.

It is a happy number.

36520727040 is a `hidden beast` number, since 365 + 20 + 7 + 270 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 36520726986 and 36520727004.

It is not an unprimeable number, because it can be changed into a prime (36520727041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138861949 + ... + 138862211.

It is an arithmetic number, because the mean of its divisors is an integer number (161638092).

Almost surely, 2^36520727040 is an apocalyptic number.

36520727040 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 36520727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77586284160).

36520727040 is an abundant number, since it is smaller than the sum of its proper divisors (118651841280).

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

36520727040 is a wasteful number, since it uses less digits than its factorization.

36520727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 36520727040 in words is "thirty-six billion, five hundred twenty million, seven hundred twenty-seven thousand, forty".