36519441979680 has 576 divisors, whose sum is σ = 137290113717120. Its totient is φ = 8839337379840.

The previous prime is 36519441979627. The next prime is 36519441979693. The reversal of 36519441979680 is 8697914491563.

It is a happy number.

36519441979680 is a `hidden beast` number, since 3 + 6 + 5 + 1 + 9 + 441 + 97 + 96 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 36519441979599 and 36519441979608.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1251551331 + ... + 1251580509.

It is an arithmetic number, because the mean of its divisors is an integer number (238350891870).

Almost surely, 2^{36519441979680} is an apocalyptic number.

36519441979680 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 36519441979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68645056858560).

36519441979680 is an abundant number, since it is smaller than the sum of its proper divisors (100770671737440).

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

36519441979680 is a wasteful number, since it uses less digits than its factorization.

36519441979680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29886 (or 29853 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 36519441979680 in words is "thirty-six trillion, five hundred nineteen billion, four hundred forty-one million, nine hundred seventy-nine thousand, six hundred eighty".