6235584038400 has 480 divisors, whose sum is σ = 21816453479040. Its totient is φ = 1565611130880.

The previous prime is 6235584038393. The next prime is 6235584038407. The reversal of 6235584038400 is 48304855326.

It is an interprime number because it is at equal distance from previous prime (6235584038393) and next prime (6235584038407).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6235584038400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6235584038407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118898584 + ... + 118951016.

It is an arithmetic number, because the mean of its divisors is an integer number (45450944748).

Almost surely, 2^{6235584038400} is an apocalyptic number.

6235584038400 is a gapful number since it is divisible by the number (60) 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 6235584038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10908226739520).

6235584038400 is an abundant number, since it is smaller than the sum of its proper divisors (15580869440640).

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

6235584038400 is a wasteful number, since it uses less digits than its factorization.

6235584038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52646 (or 52625 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 6235584038400 in words is "six trillion, two hundred thirty-five billion, five hundred eighty-four million, thirty-eight thousand, four hundred".