36348468480 has 432 divisors, whose sum is σ = 131679671760. Its totient is φ = 9247260672.

The previous prime is 36348468479. The next prime is 36348468521. The reversal of 36348468480 is 8486484363.

36348468480 is a `hidden beast` number, since 3 + 6 + 3 + 484 + 6 + 84 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11212268544 + 25136199936 = 105888^2 + 158544^2 .

It is a super-2 number, since 2×36348468480² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22589916 + ... + 22591524.

It is an arithmetic number, because the mean of its divisors is an integer number (304814055).

Almost surely, 2^36348468480 is an apocalyptic number.

36348468480 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 36348468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65839835880).

36348468480 is an abundant number, since it is smaller than the sum of its proper divisors (95331203280).

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

36348468480 is a wasteful number, since it uses less digits than its factorization.

36348468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 36348468480 in words is "thirty-six billion, three hundred forty-eight million, four hundred sixty-eight thousand, four hundred eighty".