36007132800 has 192 divisors, whose sum is σ = 118810252800. Its totient is φ = 9584762880.

The previous prime is 36007132793. The next prime is 36007132849. The reversal of 36007132800 is 823170063.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×36007132800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 5920161 + ... + 5926239.

It is an arithmetic number, because the mean of its divisors is an integer number (618803400).

Almost surely, 2^36007132800 is an apocalyptic number.

36007132800 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 36007132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59405126400).

36007132800 is an abundant number, since it is smaller than the sum of its proper divisors (82803120000).

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

36007132800 is a wasteful number, since it uses less digits than its factorization.

36007132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6723 (or 6706 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 36007132800 in words is "thirty-six billion, seven million, one hundred thirty-two thousand, eight hundred".