36468071424 has 528 divisors, whose sum is σ = 119259006048. Its totient is φ = 11083972608.

The previous prime is 36468071417. The next prime is 36468071449. The reversal of 36468071424 is 42417086463.

It is a self number, because there is not a number n which added to its sum of digits gives 36468071424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156515212 + ... + 156515444.

Almost surely, 2^36468071424 is an apocalyptic number.

36468071424 is a gapful number since it is divisible by the number (34) 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 36468071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59629503024).

36468071424 is an abundant number, since it is smaller than the sum of its proper divisors (82790934624).

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

36468071424 is a wasteful number, since it uses less digits than its factorization.

36468071424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 36468071424 in words is "thirty-six billion, four hundred sixty-eight million, seventy-one thousand, four hundred twenty-four".