36801058406400 has 1728 divisors, whose sum is σ = 141069394262160. Its totient is φ = 9516928204800.

The previous prime is 36801058406339. The next prime is 36801058406471. The reversal of 36801058406400 is 460485010863.

36801058406400 is a `hidden beast` number, since 3 + 6 + 8 + 0 + 1 + 0 + 584 + 0 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 220365619117 + ... + 220365619283.

Almost surely, 2^{36801058406400} is an apocalyptic number.

36801058406400 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 36801058406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70534697131080).

36801058406400 is an abundant number, since it is smaller than the sum of its proper divisors (104268335855760).

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

36801058406400 is an frugal number, since it uses more digits than its factorization.

36801058406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 36801058406400 in words is "thirty-six trillion, eight hundred one billion, fifty-eight million, four hundred six thousand, four hundred".