36787161600 has 1080 divisors, whose sum is σ = 161675411040. Its totient is φ = 7965941760.

The previous prime is 36787161599. The next prime is 36787161601. The reversal of 36787161600 is 616178763.

36787161600 is a `hidden beast` number, since 36 + 7 + 8 + 7 + 1 + 6 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (36787161599) and next prime (36787161601).

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

It is not an unprimeable number, because it can be changed into a prime (36787161601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1936166391 + ... + 1936166409.

Almost surely, 2^36787161600 is an apocalyptic number.

36787161600 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 36787161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80837705520).

36787161600 is an abundant number, since it is smaller than the sum of its proper divisors (124888249440).

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

36787161600 is an frugal number, since it uses more digits than its factorization.

36787161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 36787161600 in words is "thirty-six billion, seven hundred eighty-seven million, one hundred sixty-one thousand, six hundred".