36437340360960 has 6912 divisors, whose sum is σ = 184897636761600. Its totient is φ = 6772211712000.

The previous prime is 36437340360917. The next prime is 36437340360977. The reversal of 36437340360960 is 6906304373463.

36437340360960 is a `hidden beast` number, since 3 + 64 + 37 + 3 + 403 + 60 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is a junction number, because it is equal to n+sod(n) for n = 36437340360897 and 36437340360906.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 888715618540 + ... + 888715618580.

It is an arithmetic number, because the mean of its divisors is an integer number (26750236800).

Almost surely, 2^{36437340360960} is an apocalyptic number.

36437340360960 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 36437340360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92448818380800).

36437340360960 is an abundant number, since it is smaller than the sum of its proper divisors (148460296400640).

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

36437340360960 is a wasteful number, since it uses less digits than its factorization.

36437340360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 54.

The spelling of 36437340360960 in words is "thirty-six trillion, four hundred thirty-seven billion, three hundred forty million, three hundred sixty thousand, nine hundred sixty".