36506489043600 has 945 divisors, whose sum is σ = 134296226644377. Its totient is φ = 9532340547840.

The previous prime is 36506489043581. The next prime is 36506489043613. The reversal of 36506489043600 is 634098460563.

The square root of 36506489043600 is 6042060.

It is a perfect power (a square), and thus also a powerful number.

36506489043600 is a `hidden beast` number, since 3 + 6 + 506 + 4 + 8 + 90 + 43 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13142336055696 + 23364152987904 = 3625236^2 + 4833648^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 218601730717 + ... + 218601730883.

Almost surely, 2^{36506489043600} is an apocalyptic number.

36506489043600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36506489043600 is the 6042060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36506489043600

36506489043600 is an abundant number, since it is smaller than the sum of its proper divisors (97789737600777).

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

36506489043600 is an frugal number, since it uses more digits than its factorization.

36506489043600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 36506489043600 in words is "thirty-six trillion, five hundred six billion, four hundred eighty-nine million, forty-three thousand, six hundred".