36801875819520 has 1408 divisors, whose sum is σ = 152549152849920. Its totient is φ = 8343364829184.

The previous prime is 36801875819507. The next prime is 36801875819537. The reversal of 36801875819520 is 2591857810863.

36801875819520 is a `hidden beast` number, since 3 + 6 + 80 + 18 + 7 + 5 + 8 + 19 + 520 = 666.

It is a super-2 number, since 2×36801875819520² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9954522312 + ... + 9954526008.

Almost surely, 2^{36801875819520} is an apocalyptic number.

36801875819520 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 36801875819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76274576424960).

36801875819520 is an abundant number, since it is smaller than the sum of its proper divisors (115747277030400).

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

36801875819520 is an equidigital number, since it uses as much as digits as its factorization.

36801875819520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 36801875819520 in words is "thirty-six trillion, eight hundred one billion, eight hundred seventy-five million, eight hundred nineteen thousand, five hundred twenty".