6429397680 has 200 divisors, whose sum is σ = 22483494000. Its totient is φ = 1702743552.

The previous prime is 6429397661. The next prime is 6429397691. The reversal of 6429397680 is 867939246.

It is a happy number.

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 39 ways as a sum of consecutive naturals, for example, 962191 + ... + 968849.

It is an arithmetic number, because the mean of its divisors is an integer number (112417470).

Almost surely, 2^6429397680 is an apocalyptic number.

6429397680 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 6429397680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11241747000).

6429397680 is an abundant number, since it is smaller than the sum of its proper divisors (16054096320).

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

6429397680 is a wasteful number, since it uses less digits than its factorization.

6429397680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6833 (or 6818 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 6429397680 is about 80183.5249911102. The cubic root of 6429397680 is about 1859.4739407201.

The spelling of 6429397680 in words is "six billion, four hundred twenty-nine million, three hundred ninety-seven thousand, six hundred eighty".