368611607040 has 80 divisors (see below), whose sum is σ = 1178405255808. Its totient is φ = 98296426496.

The previous prime is 368611607027. The next prime is 368611607071. The reversal of 368611607040 is 40706116863.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×368611607040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 368611606983 and 368611607001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23990472 + ... + 24005831.

Almost surely, 2^368611607040 is an apocalyptic number.

368611607040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

368611607040 is an abundant number, since it is smaller than the sum of its proper divisors (809793648768).

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

368611607040 is an equidigital number, since it uses as much as digits as its factorization.

368611607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47996329 (or 47996313 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 368611607040 in words is "three hundred sixty-eight billion, six hundred eleven million, six hundred seven thousand, forty".