36246450240 has 1680 divisors, whose sum is σ = 175800446976. Its totient is φ = 6897623040.

The previous prime is 36246450221. The next prime is 36246450259. The reversal of 36246450240 is 4205464263.

36246450240 is a `hidden beast` number, since 3 + 6 + 2 + 4 + 645 + 0 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36246450221) and next prime (36246450259).

It is a tau number, because it is divible by the number of its divisors (1680).

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 = 36246450195 and 36246450204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 285405057 + ... + 285405183.

Almost surely, 2^36246450240 is an apocalyptic number.

36246450240 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 36246450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87900223488).

36246450240 is an abundant number, since it is smaller than the sum of its proper divisors (139553996736).

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

36246450240 is a wasteful number, since it uses less digits than its factorization.

36246450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 36246450240 in words is "thirty-six billion, two hundred forty-six million, four hundred fifty thousand, two hundred forty".