36007280640 has 192 divisors, whose sum is σ = 124828446600. Its totient is φ = 9601548288.

The previous prime is 36007280563. The next prime is 36007280641. The reversal of 36007280640 is 4608270063.

36007280640 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 7 + 2 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36007280595 and 36007280604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36007280641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1462351 + ... + 1486769.

Almost surely, 2^36007280640 is an apocalyptic number.

36007280640 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 36007280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62414223300).

36007280640 is an abundant number, since it is smaller than the sum of its proper divisors (88821165960).

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

36007280640 is an equidigital number, since it uses as much as digits as its factorization.

36007280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24460 (or 24429 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 36007280640 in words is "thirty-six billion, seven million, two hundred eighty thousand, six hundred forty".