36778008960 has 1024 divisors, whose sum is σ = 164411596800. Its totient is φ = 7547904000.

The previous prime is 36778008959. The next prime is 36778008979. The reversal of 36778008960 is 6980087763.

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 = 36778008897 and 36778008906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 174303255 + ... + 174303465.

It is an arithmetic number, because the mean of its divisors is an integer number (160558200).

Almost surely, 2^36778008960 is an apocalyptic number.

36778008960 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 36778008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82205798400).

36778008960 is an abundant number, since it is smaller than the sum of its proper divisors (127633587840).

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

36778008960 is a wasteful number, since it uses less digits than its factorization.

36778008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 36778008960 in words is "thirty-six billion, seven hundred seventy-eight million, eight thousand, nine hundred sixty".