36919006080 has 768 divisors, whose sum is σ = 141767988480. Its totient is φ = 8075673600.

The previous prime is 36919006067. The next prime is 36919006081. The reversal of 36919006080 is 8060091963.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36919006081) 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 95 ways as a sum of consecutive naturals, for example, 345037387 + ... + 345037493.

It is an arithmetic number, because the mean of its divisors is an integer number (184593735).

Almost surely, 2^36919006080 is an apocalyptic number.

36919006080 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 36919006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70883994240).

36919006080 is an abundant number, since it is smaller than the sum of its proper divisors (104848982400).

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

36919006080 is a wasteful number, since it uses less digits than its factorization.

36919006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 36919006080 in words is "thirty-six billion, nine hundred nineteen million, six thousand, eighty".