36828970920000 has 2240 divisors, whose sum is σ = 160736643809280. Its totient is φ = 8089113600000.

The previous prime is 36828970919977. The next prime is 36828970920011. The reversal of 36828970920000 is 2907982863.

It is a happy number.

36828970920000 is a `hidden beast` number, since 368 + 2 + 8 + 9 + 70 + 9 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 39138119530 + ... + 39138120470.

It is an arithmetic number, because the mean of its divisors is an integer number (71757430272).

Almost surely, 2^{36828970920000} is an apocalyptic number.

36828970920000 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 36828970920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80368321904640).

36828970920000 is an abundant number, since it is smaller than the sum of its proper divisors (123907672889280).

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

36828970920000 is a wasteful number, since it uses less digits than its factorization.

36828970920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 36828970920000 in words is "thirty-six trillion, eight hundred twenty-eight billion, nine hundred seventy million, nine hundred twenty thousand".