36273060046080 has 1728 divisors, whose sum is σ = 151807798501632. Its totient is φ = 7879954268160.

The previous prime is 36273060046061. The next prime is 36273060046123. The reversal of 36273060046080 is 8064006037263.

36273060046080 is a `hidden beast` number, since 3 + 6 + 2 + 7 + 30 + 6 + 0 + 0 + 4 + 608 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8469075619 + ... + 8469079901.

It is an arithmetic number, because the mean of its divisors is an integer number (87851735244).

Almost surely, 2^{36273060046080} is an apocalyptic number.

36273060046080 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 36273060046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75903899250816).

36273060046080 is an abundant number, since it is smaller than the sum of its proper divisors (115534738455552).

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

36273060046080 is a wasteful number, since it uses less digits than its factorization.

36273060046080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 36273060046080 in words is "thirty-six trillion, two hundred seventy-three billion, sixty million, forty-six thousand, eighty".