36456613440 has 112 divisors (see below), whose sum is σ = 124653617088. Its totient is φ = 8973932544.

The previous prime is 36456613433. The next prime is 36456613447. The reversal of 36456613440 is 4431665463.

36456613440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36456613433) and next prime (36456613447).

It is a junction number, because it is equal to n+sod(n) for n = 36456613392 and 36456613401.

It is not an unprimeable number, because it can be changed into a prime (36456613447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1448122 + ... + 1473081.

It is an arithmetic number, because the mean of its divisors is an integer number (1112978724).

Almost surely, 2^36456613440 is an apocalyptic number.

36456613440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36456613440 is an abundant number, since it is smaller than the sum of its proper divisors (88197003648).

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

36456613440 is a wasteful number, since it uses less digits than its factorization.

36456613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921236 (or 2921226 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 36456613440 in words is "thirty-six billion, four hundred fifty-six million, six hundred thirteen thousand, four hundred forty".