36774466560 has 880 divisors, whose sum is σ = 149801097600. Its totient is φ = 8551858176.

The previous prime is 36774466559. The next prime is 36774466567. The reversal of 36774466560 is 6566447763.

36774466560 is a `hidden beast` number, since 3 + 6 + 7 + 74 + 4 + 6 + 6 + 560 = 666.

It is a super-2 number, since 2×36774466560² (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 junction number, because it is equal to n+sod(n) for n = 36774466497 and 36774466506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36774466567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102435661 + ... + 102436019.

It is an arithmetic number, because the mean of its divisors is an integer number (170228520).

Almost surely, 2^36774466560 is an apocalyptic number.

36774466560 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 36774466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74900548800).

36774466560 is an abundant number, since it is smaller than the sum of its proper divisors (113026631040).

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

36774466560 is a wasteful number, since it uses less digits than its factorization.

36774466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 36774466560 in words is "thirty-six billion, seven hundred seventy-four million, four hundred sixty-six thousand, five hundred sixty".