6429290400 has 432 divisors, whose sum is σ = 24632407800. Its totient is φ = 1568563200.

The previous prime is 6429290389. The next prime is 6429290429. The reversal of 6429290400 is 40929246.

6429290400 is a `hidden beast` number, since 642 + 9 + 2 + 9 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 406909584 + 6022380816 = 20172^2 + 77604^2 .

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 71 ways as a sum of consecutive naturals, for example, 13946170 + ... + 13946630.

Almost surely, 2^6429290400 is an apocalyptic number.

6429290400 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 6429290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12316203900).

6429290400 is an abundant number, since it is smaller than the sum of its proper divisors (18203117400).

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

6429290400 is a wasteful number, since it uses less digits than its factorization.

6429290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6429290400 is about 80182.8560229679. The cubic root of 6429290400 is about 1859.4635983581.

The spelling of 6429290400 in words is "six billion, four hundred twenty-nine million, two hundred ninety thousand, four hundred".