36361465920 has 896 divisors, whose sum is σ = 148396147200. Its totient is φ = 8302362624.

The previous prime is 36361465919. The next prime is 36361465957. The reversal of 36361465920 is 2956416363.

36361465920 is a `hidden beast` number, since 3 + 6 + 3 + 614 + 6 + 5 + 9 + 20 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 261593211 + ... + 261593349.

It is an arithmetic number, because the mean of its divisors is an integer number (165620700).

Almost surely, 2^36361465920 is an apocalyptic number.

36361465920 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 36361465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74198073600).

36361465920 is an abundant number, since it is smaller than the sum of its proper divisors (112034681280).

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

36361465920 is a wasteful number, since it uses less digits than its factorization.

36361465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 36361465920 in words is "thirty-six billion, three hundred sixty-one million, four hundred sixty-five thousand, nine hundred twenty".