36420088320 has 800 divisors, whose sum is σ = 162704336256. Its totient is φ = 7564492800.

The previous prime is 36420088303. The next prime is 36420088337. The reversal of 36420088320 is 2388002463.

36420088320 is a `hidden beast` number, since 3 + 642 + 0 + 0 + 8 + 8 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36420088303) and next prime (36420088337).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15965580 + ... + 15967860.

Almost surely, 2^36420088320 is an apocalyptic number.

36420088320 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 36420088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81352168128).

36420088320 is an abundant number, since it is smaller than the sum of its proper divisors (126284247936).

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

36420088320 is a wasteful number, since it uses less digits than its factorization.

36420088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 36420088320 in words is "thirty-six billion, four hundred twenty million, eighty-eight thousand, three hundred twenty".