36775006560 has 384 divisors, whose sum is σ = 138534883200. Its totient is φ = 9077391360.

The previous prime is 36775006511. The next prime is 36775006561. The reversal of 36775006560 is 6560057763.

36775006560 is a `hidden beast` number, since 36 + 7 + 7 + 50 + 0 + 6 + 560 = 666.

It is a super-2 number, since 2×36775006560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36775006561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4475736 + ... + 4483944.

It is an arithmetic number, because the mean of its divisors is an integer number (360767925).

Almost surely, 2^36775006560 is an apocalyptic number.

36775006560 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 36775006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69267441600).

36775006560 is an abundant number, since it is smaller than the sum of its proper divisors (101759876640).

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

36775006560 is a wasteful number, since it uses less digits than its factorization.

36775006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8311 (or 8297 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 36775006560 in words is "thirty-six billion, seven hundred seventy-five million, six thousand, five hundred sixty".