36411475968 has 384 divisors, whose sum is σ = 129782016000. Its totient is φ = 9853747200.

The previous prime is 36411475967. The next prime is 36411476029. The reversal of 36411475968 is 86957411463.

36411475968 is a `hidden beast` number, since 3 + 6 + 4 + 1 + 1 + 47 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (36411475967) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7351893 + ... + 7356843.

It is an arithmetic number, because the mean of its divisors is an integer number (337974000).

Almost surely, 2^36411475968 is an apocalyptic number.

36411475968 is a gapful number since it is divisible by the number (38) 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 36411475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64891008000).

36411475968 is an abundant number, since it is smaller than the sum of its proper divisors (93370540032).

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

36411475968 is a wasteful number, since it uses less digits than its factorization.

36411475968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 4982 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 36411475968 in words is "thirty-six billion, four hundred eleven million, four hundred seventy-five thousand, nine hundred sixty-eight".