36735224198400 has 2160 divisors, whose sum is σ = 174445001305344. Its totient is φ = 7413521448960.

The previous prime is 36735224198383. The next prime is 36735224198443. The reversal of 36735224198400 is 489142253763.

36735224198400 is a `hidden beast` number, since 3 + 6 + 7 + 3 + 5 + 224 + 1 + 9 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1084994272 + ... + 1085028128.

It is a 1-persistent number, because it is pandigital, but 2⋅36735224198400 = 73470448396800 is not.

Almost surely, 2^{36735224198400} is an apocalyptic number.

36735224198400 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 36735224198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87222500652672).

36735224198400 is an abundant number, since it is smaller than the sum of its proper divisors (137709777106944).

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

36735224198400 is a wasteful number, since it uses less digits than its factorization.

36735224198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33938 (or 33910 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 36735224198400 in words is "thirty-six trillion, seven hundred thirty-five billion, two hundred twenty-four million, one hundred ninety-eight thousand, four hundred".