36075275280 has 480 divisors, whose sum is σ = 136520512128. Its totient is φ = 8460288000.

The previous prime is 36075275251. The next prime is 36075275347. The reversal of 36075275280 is 8257257063.

36075275280 is a `hidden beast` number, since 36 + 0 + 75 + 27 + 528 + 0 = 666.

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

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, 89963080 + ... + 89963480.

Almost surely, 2^36075275280 is an apocalyptic number.

36075275280 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 36075275280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68260256064).

36075275280 is an abundant number, since it is smaller than the sum of its proper divisors (100445236848).

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

36075275280 is a wasteful number, since it uses less digits than its factorization.

36075275280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 36075275280 in words is "thirty-six billion, seventy-five million, two hundred seventy-five thousand, two hundred eighty".