36527778144 has 1080 divisors, whose sum is σ = 139442111424. Its totient is φ = 9306316800.

The previous prime is 36527778061. The next prime is 36527778163. The reversal of 36527778144 is 44187772563.

36527778144 is a `hidden beast` number, since 3 + 6 + 527 + 7 + 78 + 1 + 44 = 666.

It is a super-2 number, since 2×36527778144² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 1178315409 + ... + 1178315439.

Almost surely, 2^36527778144 is an apocalyptic number.

36527778144 is a gapful number since it is divisible by the number (34) 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 36527778144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69721055712).

36527778144 is an abundant number, since it is smaller than the sum of its proper divisors (102914333280).

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

36527778144 is a wasteful number, since it uses less digits than its factorization.

36527778144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 77 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 36527778144 in words is "thirty-six billion, five hundred twenty-seven million, seven hundred seventy-eight thousand, one hundred forty-four".