6407046760 has 64 divisors (see below), whose sum is σ = 14522515920. Its totient is φ = 2543923200.

The previous prime is 6407046743. The next prime is 6407046761. The reversal of 6407046760 is 676407046.

It can be written as a sum of positive squares in 8 ways, for example, as 4639516996 + 1767529764 = 68114^2 + 42042^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6407046761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5334160 + ... + 5335360.

Almost surely, 2^6407046760 is an apocalyptic number.

It is an amenable number.

6407046760 is an abundant number, since it is smaller than the sum of its proper divisors (8115469160).

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

6407046760 is a wasteful number, since it uses less digits than its factorization.

6407046760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 6407046760 is about 80044.0301334209. The cubic root of 6407046760 is about 1857.3167035567.

The spelling of 6407046760 in words is "six billion, four hundred seven million, forty-six thousand, seven hundred sixty".