36461134080 has 432 divisors, whose sum is σ = 144674974080. Its totient is φ = 8305016832.

The previous prime is 36461134051. The next prime is 36461134153. The reversal of 36461134080 is 8043116463.

It is a happy number.

36461134080 is a `hidden beast` number, since 3 + 6 + 4 + 611 + 34 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30561964 + ... + 30563156.

Almost surely, 2^36461134080 is an apocalyptic number.

36461134080 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 36461134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72337487040).

36461134080 is an abundant number, since it is smaller than the sum of its proper divisors (108213840000).

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

36461134080 is a wasteful number, since it uses less digits than its factorization.

36461134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 36461134080 in words is "thirty-six billion, four hundred sixty-one million, one hundred thirty-four thousand, eighty".