396624729600 has 1200 divisors, whose sum is σ = 1624547897280. Its totient is φ = 94766284800.

The previous prime is 396624729569. The next prime is 396624729601. The reversal of 396624729600 is 6927426693.

396624729600 is a `hidden beast` number, since 3 + 9 + 6 + 6 + 2 + 4 + 7 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×396624729600² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396624729601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 946598191 + ... + 946598609.

Almost surely, 2^396624729600 is an apocalyptic number.

396624729600 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 396624729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812273948640).

396624729600 is an abundant number, since it is smaller than the sum of its proper divisors (1227923167680).

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

396624729600 is a wasteful number, since it uses less digits than its factorization.

396624729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 396624729600 in words is "three hundred ninety-six billion, six hundred twenty-four million, seven hundred twenty-nine thousand, six hundred".