36821965478400 has 600 divisors, whose sum is σ = 142206144768864. Its totient is φ = 9392263372800.

The previous prime is 36821965478369. The next prime is 36821965478407. The reversal of 36821965478400 is 487456912863.

36821965478400 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 1 + 9 + 6 + 547 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is not an unprimeable number, because it can be changed into a prime (36821965478407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23074335 + ... + 24618465.

It is a 1-persistent number, because it is pandigital, but 2⋅36821965478400 = 73643930956800 is not.

Almost surely, 2^{36821965478400} is an apocalyptic number.

36821965478400 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 36821965478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71103072384432).

36821965478400 is an abundant number, since it is smaller than the sum of its proper divisors (105384179290464).

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

36821965478400 is a wasteful number, since it uses less digits than its factorization.

36821965478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544194 (or 1544164 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 36821965478400 in words is "thirty-six trillion, eight hundred twenty-one billion, nine hundred sixty-five million, four hundred seventy-eight thousand, four hundred".