36420908160 has 768 divisors, whose sum is σ = 147411411840. Its totient is φ = 7580418048.

The previous prime is 36420908159. The next prime is 36420908179. The reversal of 36420908160 is 6180902463.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 95 ways as a sum of consecutive naturals, for example, 118634727 + ... + 118635033.

Almost surely, 2^36420908160 is an apocalyptic number.

36420908160 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 36420908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73705705920).

36420908160 is an abundant number, since it is smaller than the sum of its proper divisors (110990503680).

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

36420908160 is a wasteful number, since it uses less digits than its factorization.

36420908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 36420908160 in words is "thirty-six billion, four hundred twenty million, nine hundred eight thousand, one hundred sixty".