36005497920 has 420 divisors, whose sum is σ = 148993821900. Its totient is φ = 8229537792.

The previous prime is 36005497909. The next prime is 36005497951. The reversal of 36005497920 is 2979450063.

It is a happy number.

36005497920 is a `hidden beast` number, since 36 + 0 + 0 + 549 + 79 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5946260544 + 30059237376 = 77112^2 + 173376^2 .

It is a tau number, because it is divible by the number of its divisors (420).

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 59 ways as a sum of consecutive naturals, for example, 1255906 + ... + 1284254.

It is an arithmetic number, because the mean of its divisors is an integer number (354747195).

Almost surely, 2^36005497920 is an apocalyptic number.

36005497920 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 36005497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74496910950).

36005497920 is an abundant number, since it is smaller than the sum of its proper divisors (112988323980).

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

36005497920 is a wasteful number, since it uses less digits than its factorization.

36005497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28392 (or 28366 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 36005497920 in words is "thirty-six billion, five million, four hundred ninety-seven thousand, nine hundred twenty".