36384924672 has 132 divisors (see below), whose sum is σ = 105820238160. Its totient is φ = 12040630272.

The previous prime is 36384924661. The next prime is 36384924707. The reversal of 36384924672 is 27642948363.

It is a super-2 number, since 2×36384924672² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1266823 + ... + 1295225.

Almost surely, 2^36384924672 is an apocalyptic number.

36384924672 is a gapful number since it is divisible by the number (32) 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 36384924672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52910119080).

36384924672 is an abundant number, since it is smaller than the sum of its proper divisors (69435313488).

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

36384924672 is a wasteful number, since it uses less digits than its factorization.

36384924672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28568 (or 28547 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

It can be divided in two parts, 363849 and 24672, that added together give a triangular number (388521 = T₈₈₁).

The spelling of 36384924672 in words is "thirty-six billion, three hundred eighty-four million, nine hundred twenty-four thousand, six hundred seventy-two".