36788424480 has 240 divisors, whose sum is σ = 130210597440. Its totient is φ = 9781682688.

The previous prime is 36788424479. The next prime is 36788424481. The reversal of 36788424480 is 8442488763.

It is a happy number.

36788424480 is a `hidden beast` number, since 3 + 67 + 8 + 84 + 24 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (36788424479) and next prime (36788424481).

It is a tau number, because it is divible by the number of its divisors (240).

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 (36788424481) 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 39 ways as a sum of consecutive naturals, for example, 4648687 + ... + 4656593.

It is an arithmetic number, because the mean of its divisors is an integer number (542544156).

Almost surely, 2^36788424480 is an apocalyptic number.

36788424480 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 36788424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65105298720).

36788424480 is an abundant number, since it is smaller than the sum of its proper divisors (93422172960).

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

36788424480 is a wasteful number, since it uses less digits than its factorization.

36788424480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8293 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 36788424480 in words is "thirty-six billion, seven hundred eighty-eight million, four hundred twenty-four thousand, four hundred eighty".