6252476922720 has 960 divisors, whose sum is σ = 26749748551680. Its totient is φ = 1342653677568.

The previous prime is 6252476922719. The next prime is 6252476922739. The reversal of 6252476922720 is 272296742526.

6252476922720 is a `hidden beast` number, since 6 + 2 + 524 + 7 + 6 + 92 + 2 + 7 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 936136341 + ... + 936143019.

It is an arithmetic number, because the mean of its divisors is an integer number (27864321408).

Almost surely, 2^{6252476922720} is an apocalyptic number.

6252476922720 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 6252476922720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13374874275840).

6252476922720 is an abundant number, since it is smaller than the sum of its proper divisors (20497271628960).

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

6252476922720 is a wasteful number, since it uses less digits than its factorization.

6252476922720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7337 (or 7320 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 6252476922720 in words is "six trillion, two hundred fifty-two billion, four hundred seventy-six million, nine hundred twenty-two thousand, seven hundred twenty".