6470400000 has 288 divisors, whose sum is σ = 21625334640. Its totient is φ = 1720320000.

The previous prime is 6470399993. The next prime is 6470400109. The reversal of 6470400000 is 40746.

It is a self number, because there is not a number n which added to its sum of digits gives 6470400000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19199832 + ... + 19200168.

Almost surely, 2^6470400000 is an apocalyptic number.

6470400000 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 6470400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10812667320).

6470400000 is an abundant number, since it is smaller than the sum of its proper divisors (15154934640).

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

6470400000 is an frugal number, since it uses more digits than its factorization.

6470400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 6470400000 is about 80438.7966095963. The cubic root of 6470400000 is about 1863.4183870669.

Adding to 6470400000 its reverse (40746), we get a palindrome (6470440746).

The spelling of 6470400000 in words is "six billion, four hundred seventy million, four hundred thousand".