6407680796253 has 24 divisors (see below), whose sum is σ = 10331764391520. Its totient is φ = 3793130278560.

The previous prime is 6407680796233. The next prime is 6407680796269. The reversal of 6407680796253 is 3526970867046.

It is not a de Polignac number, because 6407680796253 - 2¹² = 6407680792157 is a prime.

It is a super-3 number, since 3×6407680796253³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6407680796233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752600958 + ... + 752609471.

It is an arithmetic number, because the mean of its divisors is an integer number (430490182980).

Almost surely, 2^{6407680796253} is an apocalyptic number.

It is an amenable number.

6407680796253 is a deficient number, since it is larger than the sum of its proper divisors (3924083595267).

6407680796253 is a wasteful number, since it uses less digits than its factorization.

6407680796253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505210489 (or 1505210486 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 6407680796253 in words is "six trillion, four hundred seven billion, six hundred eighty million, seven hundred ninety-six thousand, two hundred fifty-three".