36368164560 has 720 divisors, whose sum is σ = 147142189440. Its totient is φ = 7396945920.

The previous prime is 36368164543. The next prime is 36368164577. The reversal of 36368164560 is 6546186363.

36368164560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36368164543) and next prime (36368164577).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57635445 + ... + 57636075.

It is an arithmetic number, because the mean of its divisors is an integer number (204364152).

Almost surely, 2^36368164560 is an apocalyptic number.

36368164560 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 36368164560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73571094720).

36368164560 is an abundant number, since it is smaller than the sum of its proper divisors (110774024880).

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

36368164560 is a wasteful number, since it uses less digits than its factorization.

36368164560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 36368164560 in words is "thirty-six billion, three hundred sixty-eight million, one hundred sixty-four thousand, five hundred sixty".