36848033476800 has 504 divisors, whose sum is σ = 151447454773776. Its totient is φ = 7774529495040.

The previous prime is 36848033476789. The next prime is 36848033476811. The reversal of 36848033476800 is 867433084863.

It is an interprime number because it is at equal distance from previous prime (36848033476789) and next prime (36848033476811).

It is a super-2 number, since 2×36848033476800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2968047 + ... + 9083246.

It is an arithmetic number, because the mean of its divisors is an integer number (300490981694).

Almost surely, 2^{36848033476800} is an apocalyptic number.

36848033476800 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 36848033476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75723727386888).

36848033476800 is an abundant number, since it is smaller than the sum of its proper divisors (114599421296976).

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

36848033476800 is a wasteful number, since it uses less digits than its factorization.

36848033476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12051345 (or 12051323 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 60.

The spelling of 36848033476800 in words is "thirty-six trillion, eight hundred forty-eight billion, thirty-three million, four hundred seventy-six thousand, eight hundred".