36378713280 has 1344 divisors, whose sum is σ = 158780805120. Its totient is φ = 6967296000.

The previous prime is 36378713263. The next prime is 36378713297. The reversal of 36378713280 is 8231787363.

It is an interprime number because it is at equal distance from previous prime (36378713263) and next prime (36378713297).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 360185230 + ... + 360185330.

It is an arithmetic number, because the mean of its divisors is an integer number (118140480).

Almost surely, 2^36378713280 is an apocalyptic number.

36378713280 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 36378713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79390402560).

36378713280 is an abundant number, since it is smaller than the sum of its proper divisors (122402091840).

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

36378713280 is a wasteful number, since it uses less digits than its factorization.

36378713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 36378713280 in words is "thirty-six billion, three hundred seventy-eight million, seven hundred thirteen thousand, two hundred eighty".