36821564460 has 216 divisors, whose sum is σ = 119356892928. Its totient is φ = 9156480000.

The previous prime is 36821564459. The next prime is 36821564491. The reversal of 36821564460 is 6446512863.

36821564460 is a `hidden beast` number, since 3 + 6 + 8 + 21 + 564 + 4 + 60 = 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 71 ways as a sum of consecutive naturals, for example, 146699335 + ... + 146699585.

It is an arithmetic number, because the mean of its divisors is an integer number (552578208).

Almost surely, 2^36821564460 is an apocalyptic number.

36821564460 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 36821564460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59678446464).

36821564460 is an abundant number, since it is smaller than the sum of its proper divisors (82535328468).

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

36821564460 is a wasteful number, since it uses less digits than its factorization.

36821564460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 36821564460 in words is "thirty-six billion, eight hundred twenty-one million, five hundred sixty-four thousand, four hundred sixty".