6407040000 has 440 divisors, whose sum is σ = 22100525568. Its totient is φ = 1648640000.

The previous prime is 6407039993. The next prime is 6407040037. The reversal of 6407040000 is 407046.

It is a congruent number.

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, 90239965 + ... + 90240035.

Almost surely, 2^6407040000 is an apocalyptic number.

6407040000 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 6407040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11050262784).

6407040000 is an abundant number, since it is smaller than the sum of its proper divisors (15693485568).

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

6407040000 is an equidigital number, since it uses as much as digits as its factorization.

6407040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 128 counting only the distinct ones).

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

The square root of 6407040000 is about 80043.9879066504. The cubic root of 6407040000 is about 1857.3160503455.

Adding to 6407040000 its reverse (407046), we get a palindrome (6407447046).

The spelling of 6407040000 in words is "six billion, four hundred seven million, forty thousand".