36934685467680 has 1152 divisors, whose sum is σ = 157528124006400. Its totient is φ = 7063659233280.

The previous prime is 36934685467663. The next prime is 36934685467699. The reversal of 36934685467680 is 8676458643963.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2179929289 + ... + 2179946231.

It is an arithmetic number, because the mean of its divisors is an integer number (136743163200).

Almost surely, 2^{36934685467680} is an apocalyptic number.

36934685467680 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 36934685467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78764062003200).

36934685467680 is an abundant number, since it is smaller than the sum of its proper divisors (120593438538720).

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

36934685467680 is a wasteful number, since it uses less digits than its factorization.

36934685467680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17354 (or 17333 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 75.

The spelling of 36934685467680 in words is "thirty-six trillion, nine hundred thirty-four billion, six hundred eighty-five million, four hundred sixty-seven thousand, six hundred eighty".