6424225920000 has 1320 divisors, whose sum is σ = 26707564293696. Its totient is φ = 1456422912000.

The previous prime is 6424225919963. The next prime is 6424225920019. The reversal of 6424225920000 is 295224246.

It is a happy number.

6424225920000 is a `hidden beast` number, since 6 + 42 + 4 + 22 + 592 + 0 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5523839419 + ... + 5523840581.

Almost surely, 2^{6424225920000} is an apocalyptic number.

6424225920000 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 6424225920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13353782146848).

6424225920000 is an abundant number, since it is smaller than the sum of its proper divisors (20283338373696).

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

6424225920000 is a wasteful number, since it uses less digits than its factorization.

6424225920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 6424225920000 in words is "six trillion, four hundred twenty-four billion, two hundred twenty-five million, nine hundred twenty thousand".