35736021780480 has 960 divisors, whose sum is σ = 151435956672000. Its totient is φ = 7886533165056.

The previous prime is 35736021780427. The next prime is 35736021780497. The reversal of 35736021780480 is 8408712063753.

It is a happy number.

35736021780480 is a `hidden beast` number, since 3 + 5 + 7 + 3 + 60 + 21 + 7 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 168270201 + ... + 168482439.

It is an arithmetic number, because the mean of its divisors is an integer number (157745788200).

Almost surely, 2^{35736021780480} is an apocalyptic number.

35736021780480 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 35736021780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75717978336000).

35736021780480 is an abundant number, since it is smaller than the sum of its proper divisors (115699934891520).

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

35736021780480 is a wasteful number, since it uses less digits than its factorization.

35736021780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212314 (or 212285 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 35736021780480 in words is "thirty-five trillion, seven hundred thirty-six billion, twenty-one million, seven hundred eighty thousand, four hundred eighty".