36473673600 has 768 divisors, whose sum is σ = 164322816000. Its totient is φ = 7693885440.

The previous prime is 36473673569. The next prime is 36473673601. The reversal of 36473673600 is 637637463.

36473673600 is a `hidden beast` number, since 3 + 6 + 4 + 7 + 36 + 7 + 3 + 600 = 666.

It is a super-3 number, since 3×36473673600³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36473673601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7860081 + ... + 7864719.

It is an arithmetic number, because the mean of its divisors is an integer number (213962000).

Almost surely, 2^36473673600 is an apocalyptic number.

36473673600 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 36473673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82161408000).

36473673600 is an abundant number, since it is smaller than the sum of its proper divisors (127849142400).

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

36473673600 is a wasteful number, since it uses less digits than its factorization.

36473673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The spelling of 36473673600 in words is "thirty-six billion, four hundred seventy-three million, six hundred seventy-three thousand, six hundred".