6430687374400 has 63 divisors (see below), whose sum is σ = 15823759718559. Its totient is φ = 2572234375680.

The previous prime is 6430687374379. The next prime is 6430687374481. The reversal of 6430687374400 is 44737860346.

The square root of 6430687374400 is 2535880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 456143547456 + 5974543826944 = 675384^2 + 2444288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 101403502 + ... + 101466898.

Almost surely, 2^{6430687374400} is an apocalyptic number.

6430687374400 is the 2535880-th square number.

It is an amenable number.

6430687374400 is an abundant number, since it is smaller than the sum of its proper divisors (9393072344159).

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

6430687374400 is an frugal number, since it uses more digits than its factorization.

6430687374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126816 (or 63404 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 52.

The spelling of 6430687374400 in words is "six trillion, four hundred thirty billion, six hundred eighty-seven million, three hundred seventy-four thousand, four hundred".