36400728672 has 480 divisors, whose sum is σ = 134160897024. Its totient is φ = 9405849600.

The previous prime is 36400728667. The next prime is 36400728673. The reversal of 36400728672 is 27682700463.

36400728672 is a `hidden beast` number, since 36 + 400 + 72 + 86 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36400728673) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54086928 + ... + 54087600.

Almost surely, 2^36400728672 is an apocalyptic number.

36400728672 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 36400728672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67080448512).

36400728672 is an abundant number, since it is smaller than the sum of its proper divisors (97760168352).

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

36400728672 is a wasteful number, since it uses less digits than its factorization.

36400728672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 36400728672 in words is "thirty-six billion, four hundred million, seven hundred twenty-eight thousand, six hundred seventy-two".