36671473440 has 480 divisors, whose sum is σ = 148943418624. Its totient is φ = 8323430400.

The previous prime is 36671473427. The next prime is 36671473459. The reversal of 36671473440 is 4437417663.

36671473440 is a `hidden beast` number, since 3 + 6 + 67 + 147 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13697382 + ... + 13700058.

Almost surely, 2^36671473440 is an apocalyptic number.

36671473440 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 36671473440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74471709312).

36671473440 is an abundant number, since it is smaller than the sum of its proper divisors (112271945184).

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

36671473440 is a wasteful number, since it uses less digits than its factorization.

36671473440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 36671473440 in words is "thirty-six billion, six hundred seventy-one million, four hundred seventy-three thousand, four hundred forty".