36283272480 has 1296 divisors, whose sum is σ = 164457034560. Its totient is φ = 7129534464.

The previous prime is 36283272457. The next prime is 36283272517. The reversal of 36283272480 is 8427238263.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 215 ways as a sum of consecutive naturals, for example, 614970691 + ... + 614970749.

It is an arithmetic number, because the mean of its divisors is an integer number (126895860).

Almost surely, 2^36283272480 is an apocalyptic number.

36283272480 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 36283272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82228517280).

36283272480 is an abundant number, since it is smaller than the sum of its proper divisors (128173762080).

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

36283272480 is a wasteful number, since it uses less digits than its factorization.

36283272480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 36283272480 in words is "thirty-six billion, two hundred eighty-three million, two hundred seventy-two thousand, four hundred eighty".