6270232550400 has 3960 divisors, whose sum is σ = 29999167805376. Its totient is φ = 1281982464000.

The previous prime is 6270232550381. The next prime is 6270232550401. The reversal of 6270232550400 is 40552320726.

6270232550400 is a `hidden beast` number, since 6 + 2 + 70 + 2 + 32 + 550 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6270232550401) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 62081510350 + ... + 62081510450.

Almost surely, 2^{6270232550400} is an apocalyptic number.

6270232550400 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 6270232550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999583902688).

6270232550400 is an abundant number, since it is smaller than the sum of its proper divisors (23728935254976).

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

6270232550400 is a wasteful number, since it uses less digits than its factorization.

6270232550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 6270232550400 in words is "six trillion, two hundred seventy billion, two hundred thirty-two million, five hundred fifty thousand, four hundred".