36873216576 has 441 divisors, whose sum is σ = 128629074339. Its totient is φ = 10452250368.

The previous prime is 36873216557. The next prime is 36873216587. The reversal of 36873216576 is 67561237863.

The square root of 36873216576 is 192024.

It is a perfect power (a square), and thus also a powerful number.

36873216576 is a `hidden beast` number, since 3 + 68 + 7 + 3 + 2 + 1 + 6 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (441).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 290340225 + ... + 290340351.

Almost surely, 2^36873216576 is an apocalyptic number.

36873216576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36873216576 is the 192024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36873216576

36873216576 is an abundant number, since it is smaller than the sum of its proper divisors (91755857763).

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

36873216576 is an frugal number, since it uses more digits than its factorization.

36873216576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 139 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 36873216576 in words is "thirty-six billion, eight hundred seventy-three million, two hundred sixteen thousand, five hundred seventy-six".