36542979809280 has 1792 divisors, whose sum is σ = 152067540741120. Its totient is φ = 8255648563200.

The previous prime is 36542979809129. The next prime is 36542979809317. The reversal of 36542979809280 is 8290897924563.

36542979809280 is a `hidden beast` number, since 3 + 6 + 54 + 297 + 9 + 8 + 0 + 9 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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 = 36542979809199 and 36542979809208.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63332720352 + ... + 63332720928.

Almost surely, 2^{36542979809280} is an apocalyptic number.

36542979809280 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 36542979809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76033770370560).

36542979809280 is an abundant number, since it is smaller than the sum of its proper divisors (115524560931840).

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

36542979809280 is an frugal number, since it uses more digits than its factorization.

36542979809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 36542979809280 in words is "thirty-six trillion, five hundred forty-two billion, nine hundred seventy-nine million, eight hundred nine thousand, two hundred eighty".