36705001920 has 224 divisors, whose sum is σ = 127375773696. Its totient is φ = 8914944000.

The previous prime is 36705001919. The next prime is 36705001939. The reversal of 36705001920 is 2910050763.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469645 + ... + 542195.

Almost surely, 2^36705001920 is an apocalyptic number.

36705001920 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 36705001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63687886848).

36705001920 is an abundant number, since it is smaller than the sum of its proper divisors (90670771776).

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

36705001920 is a wasteful number, since it uses less digits than its factorization.

36705001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72619 (or 72609 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 36705001920 in words is "thirty-six billion, seven hundred five million, one thousand, nine hundred twenty".