36801815050 has 576 divisors, whose sum is σ = 102336950016. Its totient is φ = 9638092800.

The previous prime is 36801815047. The next prime is 36801815053. The reversal of 36801815050 is 5051810863.

It is an interprime number because it is at equal distance from previous prime (36801815047) and next prime (36801815053).

It is a super-3 number, since 3×36801815050³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (36801815053) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 220370067 + ... + 220370233.

It is an arithmetic number, because the mean of its divisors is an integer number (177668316).

Almost surely, 2^36801815050 is an apocalyptic number.

36801815050 is an abundant number, since it is smaller than the sum of its proper divisors (65535134966).

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

36801815050 is a wasteful number, since it uses less digits than its factorization.

36801815050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The spelling of 36801815050 in words is "thirty-six billion, eight hundred one million, eight hundred fifteen thousand, fifty".