36987011976000 has 224 divisors, whose sum is σ = 122386122593280. Its totient is φ = 9842608896000.

The previous prime is 36987011975993. The next prime is 36987011976007. The reversal of 36987011976000 is 67911078963.

It is an interprime number because it is at equal distance from previous prime (36987011975993) and next prime (36987011976007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36987011976007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9887310 + ... + 13104690.

It is an arithmetic number, because the mean of its divisors is an integer number (546366618720).

Almost surely, 2^{36987011976000} is an apocalyptic number.

36987011976000 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 36987011976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61193061296640).

36987011976000 is an abundant number, since it is smaller than the sum of its proper divisors (85399110617280).

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

36987011976000 is a wasteful number, since it uses less digits than its factorization.

36987011976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217890 (or 3217870 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The spelling of 36987011976000 in words is "thirty-six trillion, nine hundred eighty-seven billion, eleven million, nine hundred seventy-six thousand".