6429113856000 has 2080 divisors, whose sum is σ = 27719075292480. Its totient is φ = 1465122816000.

The previous prime is 6429113855999. The next prime is 6429113856013. The reversal of 6429113856000 is 6583119246.

6429113856000 is a `hidden beast` number, since 6 + 4 + 2 + 9 + 1 + 1 + 38 + 5 + 600 + 0 = 666.

It is a super-2 number, since 2×6429113856000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7755263586 + ... + 7755264414.

It is an arithmetic number, because the mean of its divisors is an integer number (13326478506).

Almost surely, 2^{6429113856000} is an apocalyptic number.

6429113856000 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 6429113856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13859537646240).

6429113856000 is an abundant number, since it is smaller than the sum of its proper divisors (21289961436480).

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

6429113856000 is a wasteful number, since it uses less digits than its factorization.

6429113856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 6429113856000 in words is "six trillion, four hundred twenty-nine billion, one hundred thirteen million, eight hundred fifty-six thousand".