36652815360 has 704 divisors, whose sum is σ = 152100288000. Its totient is φ = 8366948352.

The previous prime is 36652815343. The next prime is 36652815361. The reversal of 36652815360 is 6351825663.

36652815360 is a `hidden beast` number, since 3 + 6 + 6 + 5 + 281 + 5 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36652815361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47415934 + ... + 47416706.

Almost surely, 2^36652815360 is an apocalyptic number.

36652815360 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 36652815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76050144000).

36652815360 is an abundant number, since it is smaller than the sum of its proper divisors (115447472640).

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

36652815360 is an equidigital number, since it uses as much as digits as its factorization.

36652815360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 36652815360 in words is "thirty-six billion, six hundred fifty-two million, eight hundred fifteen thousand, three hundred sixty".