36712196028000 has 1152 divisors, whose sum is σ = 145542730604544. Its totient is φ = 9062025984000.

The previous prime is 36712196027999. The next prime is 36712196028007. The reversal of 36712196028000 is 82069121763.

36712196028000 is a `hidden beast` number, since 36 + 7 + 1 + 2 + 1 + 9 + 602 + 8 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36712196028007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 693009514 + ... + 693062486.

It is an arithmetic number, because the mean of its divisors is an integer number (126339175872).

Almost surely, 2^{36712196028000} is an apocalyptic number.

36712196028000 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 36712196028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72771365302272).

36712196028000 is an abundant number, since it is smaller than the sum of its proper divisors (108830534576544).

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

36712196028000 is a wasteful number, since it uses less digits than its factorization.

36712196028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53067 (or 53037 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 36712196028000 in words is "thirty-six trillion, seven hundred twelve billion, one hundred ninety-six million, twenty-eight thousand".