36315748560 has 320 divisors, whose sum is σ = 143030845440. Its totient is φ = 7414917120.

The previous prime is 36315748541. The next prime is 36315748577. The reversal of 36315748560 is 6584751363.

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 63 ways as a sum of consecutive naturals, for example, 650221 + ... + 703859.

It is an arithmetic number, because the mean of its divisors is an integer number (446971392).

Almost surely, 2^36315748560 is an apocalyptic number.

36315748560 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 36315748560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71515422720).

36315748560 is an abundant number, since it is smaller than the sum of its proper divisors (106715096880).

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

36315748560 is a wasteful number, since it uses less digits than its factorization.

36315748560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53706 (or 53700 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 36315748560 in words is "thirty-six billion, three hundred fifteen million, seven hundred forty-eight thousand, five hundred sixty".