6238782950400 has 4224 divisors, whose sum is σ = 31439907717120. Its totient is φ = 1170505728000.

The previous prime is 6238782950381. The next prime is 6238782950417. The reversal of 6238782950400 is 40592878326.

6238782950400 is a `hidden beast` number, since 62 + 3 + 8 + 78 + 2 + 9 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 49124275137 + ... + 49124275263.

Almost surely, 2^{6238782950400} is an apocalyptic number.

6238782950400 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 6238782950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15719953858560).

6238782950400 is an abundant number, since it is smaller than the sum of its proper divisors (25201124766720).

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

6238782950400 is a wasteful number, since it uses less digits than its factorization.

6238782950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 6238782950400 in words is "six trillion, two hundred thirty-eight billion, seven hundred eighty-two million, nine hundred fifty thousand, four hundred".