6429542400 has 288 divisors, whose sum is σ = 23621925600. Its totient is φ = 1714176000.

The previous prime is 6429542393. The next prime is 6429542419. The reversal of 6429542400 is 42459246.

6429542400 is a `hidden beast` number, since 642 + 9 + 5 + 4 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1380075 + ... + 1384725.

It is an arithmetic number, because the mean of its divisors is an integer number (82020575).

Almost surely, 2^6429542400 is an apocalyptic number.

6429542400 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 6429542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11810962800).

6429542400 is an abundant number, since it is smaller than the sum of its proper divisors (17192383200).

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

6429542400 is a wasteful number, since it uses less digits than its factorization.

6429542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4661 counting only the distinct ones).

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

The square root of 6429542400 is about 80184.4274158019. The cubic root of 6429542400 is about 1859.4878923147.

The spelling of 6429542400 in words is "six billion, four hundred twenty-nine million, five hundred forty-two thousand, four hundred".