36990535680 has 960 divisors, whose sum is σ = 158685246720. Its totient is φ = 8058175488.

The previous prime is 36990535651. The next prime is 36990535693. The reversal of 36990535680 is 8653509963.

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

It is a super-3 number, since 3×36990535680³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 133539702 + ... + 133539978.

It is an arithmetic number, because the mean of its divisors is an integer number (165297132).

Almost surely, 2^36990535680 is an apocalyptic number.

36990535680 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 36990535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79342623360).

36990535680 is an abundant number, since it is smaller than the sum of its proper divisors (121694711040).

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

36990535680 is a wasteful number, since it uses less digits than its factorization.

36990535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 36990535680 in words is "thirty-six billion, nine hundred ninety million, five hundred thirty-five thousand, six hundred eighty".