36635988480 has 1280 divisors, whose sum is σ = 158389862400. Its totient is φ = 7007109120.

The previous prime is 36635988469. The next prime is 36635988481. The reversal of 36635988480 is 8488953663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (36635988481) 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 127 ways as a sum of consecutive naturals, for example, 411640276 + ... + 411640364.

It is an arithmetic number, because the mean of its divisors is an integer number (123742080).

Almost surely, 2^36635988480 is an apocalyptic number.

36635988480 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 36635988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79194931200).

36635988480 is an abundant number, since it is smaller than the sum of its proper divisors (121753873920).

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

36635988480 is a wasteful number, since it uses less digits than its factorization.

36635988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 36635988480 in words is "thirty-six billion, six hundred thirty-five million, nine hundred eighty-eight thousand, four hundred eighty".