6407660397600 has 432 divisors, whose sum is σ = 28170407603520. Its totient is φ = 1331461785600.

The previous prime is 6407660397571. The next prime is 6407660397629. The reversal of 6407660397600 is 67930667046.

It is an interprime number because it is at equal distance from previous prime (6407660397571) and next prime (6407660397629).

It is a super-3 number, since 3×6407660397600³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 5224515 + ... + 6333314.

It is an arithmetic number, because the mean of its divisors is an integer number (65209276860).

Almost surely, 2^{6407660397600} is an apocalyptic number.

6407660397600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6407660397600 is an abundant number, since it is smaller than the sum of its proper divisors (21762747205920).

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

6407660397600 is a wasteful number, since it uses less digits than its factorization.

6407660397600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11557873 (or 11557857 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 6407660397600 in words is "six trillion, four hundred seven billion, six hundred sixty million, three hundred ninety-seven thousand, six hundred".