36978052608000 has 1456 divisors, whose sum is σ = 158143324562496. Its totient is φ = 8451529113600.

The previous prime is 36978052607981. The next prime is 36978052608001. The reversal of 36978052608000 is 80625087963.

It is a happy number.

36978052608000 is a `hidden beast` number, since 36 + 9 + 7 + 8 + 0 + 526 + 0 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (36978052608001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2612728924 + ... + 2612743076.

It is an arithmetic number, because the mean of its divisors is an integer number (108614920716).

Almost surely, 2^{36978052608000} is an apocalyptic number.

36978052608000 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 36978052608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79071662281248).

36978052608000 is an abundant number, since it is smaller than the sum of its proper divisors (121165271954496).

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

36978052608000 is an frugal number, since it uses more digits than its factorization.

36978052608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14217 (or 14170 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 36978052608000 in words is "thirty-six trillion, nine hundred seventy-eight billion, fifty-two million, six hundred eight thousand".