6429507840 has 432 divisors, whose sum is σ = 26373879168. Its totient is φ = 1469104128.

The previous prime is 6429507839. The next prime is 6429507853. The reversal of 6429507840 is 487059246.

It is a happy number.

6429507840 is a `hidden beast` number, since 64 + 2 + 9 + 507 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 2175804 + ... + 2178756.

Almost surely, 2^6429507840 is an apocalyptic number.

6429507840 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 6429507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13186939584).

6429507840 is an abundant number, since it is smaller than the sum of its proper divisors (19944371328).

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

6429507840 is an equidigital number, since it uses as much as digits as its factorization.

6429507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6429507840 is about 80184.2119123210. The cubic root of 6429507840 is about 1859.4845606096.

The spelling of 6429507840 in words is "six billion, four hundred twenty-nine million, five hundred seven thousand, eight hundred forty".