36749134080 has 576 divisors, whose sum is σ = 138691123200. Its totient is φ = 9196830720.

The previous prime is 36749134021. The next prime is 36749134087. The reversal of 36749134080 is 8043194763.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (36749134087) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 37082385 + ... + 37083375.

It is an arithmetic number, because the mean of its divisors is an integer number (240783200).

Almost surely, 2^36749134080 is an apocalyptic number.

36749134080 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 36749134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69345561600).

36749134080 is an abundant number, since it is smaller than the sum of its proper divisors (101941989120).

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

36749134080 is a wasteful number, since it uses less digits than its factorization.

36749134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 36749134080 in words is "thirty-six billion, seven hundred forty-nine million, one hundred thirty-four thousand, eighty".