36705837420 has 576 divisors, whose sum is σ = 141657384960. Its totient is φ = 7722874368.

The previous prime is 36705837409. The next prime is 36705837431. The reversal of 36705837420 is 2473850763.

36705837420 is a `hidden beast` number, since 3 + 67 + 0 + 583 + 7 + 4 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36705837409) and next prime (36705837431).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50489097 + ... + 50489823.

It is an arithmetic number, because the mean of its divisors is an integer number (245932960).

Almost surely, 2^36705837420 is an apocalyptic number.

36705837420 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 36705837420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70828692480).

36705837420 is an abundant number, since it is smaller than the sum of its proper divisors (104951547540).

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

36705837420 is a wasteful number, since it uses less digits than its factorization.

36705837420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 36705837420 in words is "thirty-six billion, seven hundred five million, eight hundred thirty-seven thousand, four hundred twenty".