6429238246080 has 2688 divisors, whose sum is σ = 27269046604800. Its totient is φ = 1427969212416.

The previous prime is 6429238246049. The next prime is 6429238246097. The reversal of 6429238246080 is 806428329246.

6429238246080 is a `hidden beast` number, since 6 + 4 + 2 + 9 + 2 + 3 + 8 + 24 + 608 + 0 = 666.

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, 58983837066 + ... + 58983837174.

It is an arithmetic number, because the mean of its divisors is an integer number (10144734600).

Almost surely, 2^{6429238246080} is an apocalyptic number.

6429238246080 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 6429238246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13634523302400).

6429238246080 is an abundant number, since it is smaller than the sum of its proper divisors (20839808358720).

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

6429238246080 is a wasteful number, since it uses less digits than its factorization.

6429238246080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 6429238246080 in words is "six trillion, four hundred twenty-nine billion, two hundred thirty-eight million, two hundred forty-six thousand, eighty".