36782346240 has 624 divisors, whose sum is σ = 139535323200. Its totient is φ = 9268494336.

The previous prime is 36782346229. The next prime is 36782346299. The reversal of 36782346240 is 4264328763.

36782346240 is a `hidden beast` number, since 3 + 67 + 8 + 2 + 346 + 240 = 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 47 ways as a sum of consecutive naturals, for example, 94555966 + ... + 94556354.

It is an arithmetic number, because the mean of its divisors is an integer number (223614300).

Almost surely, 2^36782346240 is an apocalyptic number.

36782346240 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 36782346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69767661600).

36782346240 is an abundant number, since it is smaller than the sum of its proper divisors (102752976960).

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

36782346240 is an equidigital number, since it uses as much as digits as its factorization.

36782346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 36782346240 in words is "thirty-six billion, seven hundred eighty-two million, three hundred forty-six thousand, two hundred forty".