36077135616 has 360 divisors, whose sum is σ = 116112682224. Its totient is φ = 11099013120.

The previous prime is 36077135597. The next prime is 36077135671. The reversal of 36077135616 is 61653177063.

36077135616 is a `hidden beast` number, since 3 + 6 + 0 + 77 + 13 + 561 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18682171 + ... + 18684101.

Almost surely, 2^36077135616 is an apocalyptic number.

36077135616 is a gapful number since it is divisible by the number (36) 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 36077135616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58056341112).

36077135616 is an abundant number, since it is smaller than the sum of its proper divisors (80035546608).

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

36077135616 is a wasteful number, since it uses less digits than its factorization.

36077135616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 36077135616 in words is "thirty-six billion, seventy-seven million, one hundred thirty-five thousand, six hundred sixteen".